WorldCat Identities

Gohberg, I. (Israel) 1928-2009

Works: 220 works in 1,373 publications in 5 languages and 22,816 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Other
Publication Timeline
Most widely held works by I Gohberg
Basic operator theory by I Gohberg( Book )

23 editions published between 1980 and 2001 in English and Undetermined and held by 634 WorldCat member libraries worldwide

Rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three 'basic principles of linear analysis and the Riesz Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ ing this book, the authors were strongly influenced by re cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's com prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap ters V, VII and XII due to the specialized nature of the subject matter
Matrix polynomials by I Gohberg( Book )

30 editions published between 1982 and 2009 in 3 languages and held by 555 WorldCat member libraries worldwide

This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomials of first degree; the theory developed in Matrix Polynomials is a natural extension of this case to polynomials of higher degree. It has applications in many areas, such as differential equations, systems theory, the Wiener-Hopf technique, mechanics and vibrations, and numerical analysis. Although there have been significant advances in some quarters, this work remains the only systematic development of the theory of matrix polynomials. Audience: students, instructors, and researchers in linear algebra, operator theory, differential equations, systems theory, and numerical analysis. Its contents are accessible to readers who have had undergraduate-level courses in linear algebra and complex analysis
Invariant subspaces of matrices with applications by I Gohberg( Book )

28 editions published between 1986 and 2006 in English and Undetermined and held by 525 WorldCat member libraries worldwide

This unique book addresses advanced linear algebra from a perspective in which invariant subspaces are the central notion and main tool. It contains comprehensive coverage of geometrical, algebraic, topological, and analytic properties of invariant subspaces. The text lays clear mathematical foundations for linear systems theory and contains a thorough treatment of analytic perturbation theory for matrix functions. Audience: appropriate for students, instructors, and researchers in applied linear algebra, linear systems theory, and signal processing. Its contents are accessible to readers who have had undergraduate-level courses in linear algebra and complex function theory
Results and problems in combinatorial geometry by V. G Bolti︠a︡nskiĭ( Book )

33 editions published between 1965 and 1986 in 4 languages and held by 509 WorldCat member libraries worldwide

Introduction to the theory of linear nonselfadjoint operators by I Gohberg( Book )

20 editions published between 1969 and 1988 in English and held by 472 WorldCat member libraries worldwide

Theory and applications of Volterra operators in Hilbert space by I Gohberg( Book )

20 editions published between 1970 and 2004 in English and held by 425 WorldCat member libraries worldwide

Convolution equations and projection methods for their solution by I Gohberg( Book )

15 editions published between 1974 and 2005 in English and held by 348 WorldCat member libraries worldwide

Minimal factorization of matrix and operator functions by H Bart( Book )

11 editions published in 1979 in English and held by 322 WorldCat member libraries worldwide

Topics in functional analysis : essays dedicated to M.G. Krein on the occasion of his 70th birthday( Book )

19 editions published in 1978 in English and held by 320 WorldCat member libraries worldwide

Classes of linear operators by I Gohberg( Book )

23 editions published between 1990 and 1993 in English and German and held by 307 WorldCat member libraries worldwide

After the book "Basic Operator Theory" by Gohberg-Goldberg was pub lished, we, that is the present authors, intended to continue with another book which would show the readers the large variety of classes of operators and the important role they play in applications. The book was planned to be of modest size, but due to the profusion of results in this area of analysis, the number of topics grew larger than ex pected. Consequently, we decided to divide the material into two volumes - the first volume being presented now. During the past years, courses and seminars were given at our respective in stitutions based on parts of the texts. These were well received by the audience and enabled us to make appropriate choices for the topics and presentation for the two vol umes. We would like to thank G.J. Groenewald, A.B. Kuijper and A.C.M. Ran of the Vrije Universiteit at Amsterdam, who provided us with lists of remarks and corrections. We are now aware that the Basic Operator Theory book should be revised so that it may suitably fit in with our present volumes. This revision is planned to be the last step of an induction and not the first
Factorization of matrix functions and singular integral operators by Kevin Clancey( Book )

16 editions published between 1198 and 1981 in English and German and held by 279 WorldCat member libraries worldwide

A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis appli cations to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a represen tative variety of all kinds of methods, techniques, results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connec tions are still not weIl understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan
Topics in differential and integral equations and operator theory by M. G Kreĭn( Book )

10 editions published in 1983 in English and held by 266 WorldCat member libraries worldwide

In this volume three important papers of M.G. Krein appear for the first time in English translation. Each of them is a short self-contained monograph, each a masterpiece of exposition. Although two of them were written more than twenty years ago, the passage of time has not decreased their value. They are as fresh and vital as if they had been written only yesterday. These papers contain a wealth of ideas, and will serve as a source of stimulation and inspiration for experts and beginners alike. The first paper is dedicated to the theory of canonical linear differential equations, with periodic coefficients. It focuses on the study of linear Hamiltonian systems with bounded solutions which stay bounded under small perturbations of the system. The paper uses methods from operator theory in finite and infinite dimensional spaces and complex analysis. For an account of more recent literature which was generated by this paper see AMS Translations (2), Volume 93, 1970, pages 103-176 and Integral Equations and Operator Theory, Volume 5, Number 5, 1982, pages 718-757
Traces and determinants of linear operators by I Gohberg( Book )

17 editions published in 2000 in English and held by 263 WorldCat member libraries worldwide

"The authors initially planned to write an article describing the origins and developments of the theory of Fredholm operators and to present their recollections of this topic. We started to read again classical papers and we were sidetracked by the literature concerned with the theory and applications of traces and determinants of infinite matrices and integral operators. We were especially impressed by the papers of Poincare, von Koch, Fredholm, Hilbert and Carleman, as well as F. Riesz's book on infinite systems of linear equations. Consequently our plans were changed and we decided to write a paper on the history of determinants of infinite matrices and operators. During the preparation of our paper we realized that many mathematical questions had to be answered in order to gain a more complete understanding of the subject. So, we changed our plans again and decided to present the subject in a more advanced form which would satisfy our new requirements. This whole process took between four and five years of challenging, but enjoyable work. This entailed the study of the appropriate relatively recent results of Grothendieck, Ruston, Pietsch, Hermann Konig and others. After the papers [GGK1] and [GGK2] were published, we saw that the written material could serve as the basis of a book." -- The authors
Indefinite linear algebra and applications by I Gohberg( Book )

24 editions published in 2005 in English and held by 242 WorldCat member libraries worldwide

"The book has the structure of a graduate text in which chapters on advanced linear algebra form the core. This together with the many significant applications and accessible style will make it widely useful for engineers, scientists and mathematicians alike."
Holomorphic operator functions of one variable and applications : methods from complex analysis in several variables by I Gohberg( Book )

18 editions published in 2009 in English and held by 139 WorldCat member libraries worldwide

This is a book on holomorphic operator functions of a single variable and applications, which is focused on the relations between local and global theories. It is based on methods and technics of complex analysis of several variables. The first part of the theory starts with a straightforward generalization of some results from the basics of analysis of scalar functions of one complex variable. In the second part, which is the main part of the theory, results are obtained by methods and tools adapted from complex analysis of functions of several variables. We have in mind the theory of holomorphic cocycles (fiber bundles) with values in infinite-dimensional non-commutative groups. As a rule, these results do not appear in traditional complex analysis of one variable, not even for matrix valued cocycles. The third part consists of applications to operator theory. Here applications are presented for holomorphic families of subspaces and Plemelj-Muschelishvili factorization. The fourth part presents a generalization of the theory of cocycles to cocycles with restrictions. This part contains also applications to interpolation problems, to the problem of holomorphic equivalence and diagonalization
The state space method : generalizations and applications by Daniel Alpay( Book )

16 editions published between 2005 and 2006 in 3 languages and held by 123 WorldCat member libraries worldwide

"The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics." "The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations." "The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists."--BOOK JACKET
Recent advances in operator theory and its applications : the Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy by I Gohberg( Book )

17 editions published in 2005 in English and Undetermined and held by 106 WorldCat member libraries worldwide

Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24-27, 2003. The workshop, which was attended by 108 mathematicians - including a number of PhD and postdoctoral students - from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p- sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential - erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well
Interpolation, Schur functions, and moment problems by Daniel Alpay( Book )

10 editions published in 2006 in English and held by 105 WorldCat member libraries worldwide

Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word Schur analysis one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes
Topics in operator theory : proceedings of the 19th International Workshop on Operator Theory and its Applications, College of William and Mary, 2008 ; a tribute to Israel Gohberg on the occasion of his 80th birthday by Joseph A Ball( Book )

21 editions published in 2010 in English and held by 69 WorldCat member libraries worldwide

This is a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications. The intended audience are mathematicians, physicists, electrical engineers in academia and industry, researchers and graduate students, that use methods of operator theory and related fields of mathematics, such as matrix theory, functional analysis, differential and difference equations, in their work
A panorama of modern operator theory and related topics : the Israel Gohberg memorial volume by H Dym( Book )

4 editions published in 2012 in English and held by 13 WorldCat member libraries worldwide

This book is dedicated to the memory of Israel Gohberg (1928{u2013}2009) {u2013} one of the great mathematicians of our time {u2013} who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg{u2019}s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory
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Invariant subspaces of matrices with applications
Alternative Names

Goberg, I.C.

Goberg, I. C., 1928-2009

Goberg, Israel

Gochberg, I., 1928-2009

Gochberg I. C.

Gochberg I. C. 1928-2009

Gochberg, I.Ts 1928-

Gochberg, I. Z.

Gochberg, I.Z. 1928-

Gochberg, I. Z. 1928-2009

Gochberg, I. Z. (Israel), 1928-2009

Gochberg, Izraël

Gochberg, Izraelʹ Cudikovič 1928-2009

Gochberg, Izrailʹ C. 1928-2009

Gochberg, Izrailʹ Čudikovič 1928-2009

Gochberg, Izrail Dudikovic, 1928-2009

Gochberg, Izrelʹ Cudikovič 1928-2009

Gochberg, L. Z., 1928-2009

Gohberg I.

Gohberg, I. 1928-

Gohberg I. 1928-2009

Gohberg, I.C.

Gohberg, I.C. 1928-

Gohberg, I. C. 1928-2009

Gohberg, I. C. (Israel), 1928-2009

Gohberg, I. (Israel), 1928-2009

Gohberg, I. Ts.

Gohberg, I. Z.

Gohberg, Israel

Gohberg, Israel 1928-

Gohberg, Israel 1928-2009

Gohberg, Israel C.

Gohberg, Israel Tschudikowitsch 1928-2009

Gohberg, Israel' Tsudikovich 1928-

Gohberg, Israil 1928-2009

Gohberg, Izraelʹ Tsudikovich 1928-2009

Gohberg, Izrail

Gohberg, Izrailʾ 1928-2009

Gohberg, Izrailʹ C. 1928-2009

Gohberg Izrailʹ Cadikovič 1928-2009

Gohberg, Izrail' Cudikovič.

Gohberg, Izrailʹ Cudikovič, 1928-2009

Gohberg, Izrail-T︠sudikovic̆

Gohberg, Izrailʹ Tsudikovich

Gohberg, Izrailʹ Tsudikovich, 1928-2009

Gohberg, Izrail'Tsudikovich 1928-2009

Gohberg, Iztrail' Tsudikovich 1928-2009

Gôḥberg, Yiśrāʾēl 1928-2009

Gohberg, Yiśrāʻēl Z., 1928-2009

Gokhberg, I.

Gokhberg, I. Ts.

Gokhberg, I. T︠S︡. 1928-

Gokhberg, I. T︠S︡. 1928-2009

Gokhberg, I. T︠S︡. (Izrailʹ T︠S︡udikovich), 1928-

Gokhberg, I. T︠S︡. (Izrailʹ T︠S︡udikovich), 1928-2009

Gokhberg, Izrailʹ T. 1928-2009

Gokhberg, Izrailʹ T︠S︡udikovich.

Gokhberg, Izrail' Tsudikovich 1923-

Gokhberg, Izrailʹ T︠S︡udikovich 1928-

Gokhberg, Izrailʹ T︠S︡udikovich 1928-2008

Gokhberg, Izrailʹ T︠S︡udikovich 1928-2009

Gokhberg, Yiśraʾel 1928-

Gokhberg, Yiśraʾel 1928-2009

Gwkberg Yiśraʾel 1928-2009

Israel Gohberg Israeli mathematician

Israel Gohberg israelischer Mathematiker

Israel Gohberg matemático ruso

Israel Gohberg mathématicien russe

Israel Gohberg Russian mathematician

Israel Gohberg Russisch wiskundige (1928-2009)

Гохберг И. Ц

Гохберг И. Ц. 1928-2009

Гохберг, Израиль Цудикович.

Гохберг Израиль Цудикович 1928-2009

Гохберг Ізраїль Цудикович

גוכברג ישראל 1928-2009

ישראל גוכברג

ישראל גוכברג מתמטיקאי רוסי


Matrix polynomialsInvariant subspaces of matrices with applicationsResults and problems in combinatorial geometryTheory and applications of Volterra operators in Hilbert spaceTraces and determinants of linear operatorsIndefinite linear algebra and applicationsHolomorphic operator functions of one variable and applications : methods from complex analysis in several variablesThe state space method : generalizations and applications