Zarantonello, Eduardo H.
Overview
Works:  30 works in 100 publications in 2 languages and 1,150 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Contributor 
Classifications:  QA913, 533.6 
Publication Timeline
.
Most widely held works by
Eduardo H Zarantonello
Jets, wakes, and cavities by
Garrett Birkhoff(
Book
)
24 editions published between 1957 and 2014 in English and Russian and held by 563 WorldCat member libraries worldwide
Jets, Wakes, and Cavities
24 editions published between 1957 and 2014 in English and Russian and held by 563 WorldCat member libraries worldwide
Jets, Wakes, and Cavities
Contributions to nonlinear functional analysis; proceedings by Symposium on Nonlinear Functional Analysis(
Book
)
3 editions published in 1971 in English and held by 342 WorldCat member libraries worldwide
3 editions published in 1971 in English and held by 342 WorldCat member libraries worldwide
Contributions to nonlinear functional analysis : proceedings of a symposium conducted by the Mathematics Research Center,
the University of Wisconsin, Madison, April 1214, 1971 by
Eduardo H Zarantonello(
Book
)
11 editions published between 1971 and 2014 in English and held by 102 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 1214, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of
11 editions published between 1971 and 2014 in English and held by 102 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 1214, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of
Contributions to nonlinear functional analysis : proceedings of a Symposium on Nonlinear Functional Analysis conducted by
the Mathematics Research Center, the University of Wisconsin, Madison April 1214, 1971 by Symposium on Nonlinear Functional Analysis(
)
3 editions published in 1971 in English and held by 39 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis
3 editions published in 1971 in English and held by 39 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis
Contributions to nonlinear functional analysis : proceedings of a symposium conducted by the Mathematics Research Center,
the Univ. of Wisconsin, Madison, April 1214, 1971(
Book
)
1 edition published in 1971 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 19 WorldCat member libraries worldwide
Extreme contractions in Hilbert space by
Eduardo H Zarantonello(
Book
)
6 editions published in 1975 in English and Undetermined and held by 8 WorldCat member libraries worldwide
The determination of extreme points in the class of all contractions in Hilbert space is reduced to the search for maximal monotone mappings M for which the inner distance between two graph points vanishes identically. A variety of examples is exhibited. In particular, polyhedral convex functions appear as determining extreme contractions dense in the class of all contractive gradients
6 editions published in 1975 in English and Undetermined and held by 8 WorldCat member libraries worldwide
The determination of extreme points in the class of all contractions in Hilbert space is reduced to the search for maximal monotone mappings M for which the inner distance between two graph points vanishes identically. A variety of examples is exhibited. In particular, polyhedral convex functions appear as determining extreme contractions dense in the class of all contractive gradients
The Closure of the numerical range contains the spectrum by
Eduardo H Zarantonello(
Book
)
2 editions published in 1964 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1964 in English and held by 7 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis by
Eduardo H Zarantonello(
)
5 editions published between 1971 and 2014 in English and held by 7 WorldCat member libraries worldwide
5 editions published between 1971 and 2014 in English and held by 7 WorldCat member libraries worldwide
The algebra of conical projections by
Eduardo H Zarantonello(
Book
)
6 editions published in 1973 in English and held by 7 WorldCat member libraries worldwide
A concise presentation of the algebra of projections on convex cones in Hilbert space is given. (Author)
6 editions published in 1973 in English and held by 7 WorldCat member libraries worldwide
A concise presentation of the algebra of projections on convex cones in Hilbert space is given. (Author)
Dense singlevaluedness of monotone operators by
Eduardo H Zarantonello(
Book
)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
It is shown that the set of points where a monotone mapping T : X maps to X* from a separable Banach space into its dual is not single valued has no interior; if dim X <infinity and int D(t) not equal phi then the set has Lebesgue measure zero. Moreover, for accretive mappings T : X maps to X form a separable Banach space into itself the dimensions of the set of points whose images contain balls of codimension not larger than k does not exceed k. Applications to convexity are given. (Author)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
It is shown that the set of points where a monotone mapping T : X maps to X* from a separable Banach space into its dual is not single valued has no interior; if dim X <infinity and int D(t) not equal phi then the set has Lebesgue measure zero. Moreover, for accretive mappings T : X maps to X form a separable Banach space into itself the dimensions of the set of points whose images contain balls of codimension not larger than k does not exceed k. Applications to convexity are given. (Author)
Differentioids by
Eduardo H Zarantonello(
Book
)
3 editions published in 1967 in English and held by 6 WorldCat member libraries worldwide
A differentioid is the sum of a differential operator with C(superscript infinity symbol)coefficients and an integral operator with a kernel that, up to terms of arbitrary degree of smoothness, is a finite sum of the form Summation F(x, y)/ /xy/ raised to the power alpha (F(x, y) epsilon C(superscript infinity symbol, / /=geodesic distance). Differentioids form a graded algebra endowed with a symbol; they coincide with the operators admitting asymptotic expansions in terms of multipliers and powers of the basic differential operators. (Author)
3 editions published in 1967 in English and held by 6 WorldCat member libraries worldwide
A differentioid is the sum of a differential operator with C(superscript infinity symbol)coefficients and an integral operator with a kernel that, up to terms of arbitrary degree of smoothness, is a finite sum of the form Summation F(x, y)/ /xy/ raised to the power alpha (F(x, y) epsilon C(superscript infinity symbol, / /=geodesic distance). Differentioids form a graded algebra endowed with a symbol; they coincide with the operators admitting asymptotic expansions in terms of multipliers and powers of the basic differential operators. (Author)
The meaning of the CauchySchwarzBuniakovsky inequality by
Eduardo H Zarantonello(
Book
)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
It is proved that a mapping T : X maps to X* from a topological real vector space into its dual satisfies the inequality (Ty, x) <or = (Tx, x)(sup 1/2) (Ty, y)(sup 1/2) if and only if it is the restriction of a positively homogeneous subdifferential operator. (Author)
5 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
It is proved that a mapping T : X maps to X* from a topological real vector space into its dual satisfies the inequality (Ty, x) <or = (Tx, x)(sup 1/2) (Ty, y)(sup 1/2) if and only if it is the restriction of a positively homogeneous subdifferential operator. (Author)
Jets, wakes, and cavities [by] Garrett Birkhoff [and] E.H. Zarantonello by
Garrett Birkhoff(
Book
)
1 edition published in 1957 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1957 in English and held by 5 WorldCat member libraries worldwide
Projectors on convex sets in reflexive Banach spaces by
Eduardo H Zarantonello(
Book
)
4 editions published in 1977 in English and held by 5 WorldCat member libraries worldwide
The projector on a convex set K in a reflexive Banach space X is the mapping P(K) assigning to each point x* in the dual space X* the set of points minimizing 1/2 absolute value (x* squared) + 1/2 absolute value (x squared)  <x *, x> over K. Projectors are discussed and shown to enjoy most of the properties of nearest point mappings in Hilbert space. (Author)
4 editions published in 1977 in English and held by 5 WorldCat member libraries worldwide
The projector on a convex set K in a reflexive Banach space X is the mapping P(K) assigning to each point x* in the dual space X* the set of points minimizing 1/2 absolute value (x* squared) + 1/2 absolute value (x squared)  <x *, x> over K. Projectors are discussed and shown to enjoy most of the properties of nearest point mappings in Hilbert space. (Author)
The Riesz transform by
Eduardo H Zarantonello(
Book
)
2 editions published in 1961 in English and held by 4 WorldCat member libraries worldwide
A coordinateless account of the elements of tensor algebra and tensor calculus and a brief account of the theory of generalized differential operators on differentiable manifolds is presented. In tensor calculus coordinates may be looked upon in two different ways: first, as a description of manifolds in terms of lower dimensional ones; second, as a nonmenclature of coordinate notations. The treatment is a synthetic one whereby the relations between manifold and surrounding space are emphasized rather than ignored. Proofs, when given, are simply outlined and become more explicit as the subject matter is developed
2 editions published in 1961 in English and held by 4 WorldCat member libraries worldwide
A coordinateless account of the elements of tensor algebra and tensor calculus and a brief account of the theory of generalized differential operators on differentiable manifolds is presented. In tensor calculus coordinates may be looked upon in two different ways: first, as a description of manifolds in terms of lower dimensional ones; second, as a nonmenclature of coordinate notations. The treatment is a synthetic one whereby the relations between manifold and surrounding space are emphasized rather than ignored. Proofs, when given, are simply outlined and become more explicit as the subject matter is developed
The Riesz transform by
Eduardo H Zarantonello(
Book
)
2 editions published in 1961 in English and held by 3 WorldCat member libraries worldwide
A mathematical analysis is made by use of the Riesz transform in which potential operators are integral operators whose kernels can be made differentiable by subtracting finite sums of products of integer powers of the distance with infinitely differentiable kernels. The most interesting property of these operators is one which asserts that the product of any number of potential operators is in essence, a potential operator. Several theorems and proofs are presented
2 editions published in 1961 in English and held by 3 WorldCat member libraries worldwide
A mathematical analysis is made by use of the Riesz transform in which potential operators are integral operators whose kernels can be made differentiable by subtracting finite sums of products of integer powers of the distance with infinitely differentiable kernels. The most interesting property of these operators is one which asserts that the product of any number of potential operators is in essence, a potential operator. Several theorems and proofs are presented
Contributions to nonlinear functional analysis : Proceedings of a symposium conducted by the Mathematics Research Center,
the University of Wisconsin, Madison, Wis., April 1214, 1971(
Book
)
3 editions published in 1971 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1971 in English and held by 3 WorldCat member libraries worldwide
Contributions to nonlinear functional analysis by
Eduardo H Zarantonello(
Book
)
1 edition published in 1971 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 3 WorldCat member libraries worldwide
ANALYTICITY OF MINIMIZING CURVES(
Book
)
1 edition published in 1943 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1943 in English and held by 2 WorldCat member libraries worldwide
Solving functional equations by contractive averaging by
Eduardo H Zarantonello(
Book
)
1 edition published in 1960 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Birkhoff, Garrett 19111996 Author
 Mathematics Research Center (United States. Army)
 University of WisconsinMadison Mathematics Research Center Editor
 Symposium on Nonlinear Functional Analysis. <1971, Madison, Wis.>.
 Symposium on Nonlinear Functional Analysis $ (1971 : Madison)
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 University of Wisconsin (Madison) Mathematics Research Center Symposium (1971 : Madison)
 Cotlar, Mischa Author
 HARVARD UNIV CAMBRIDGE MASS
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Associated Subjects
Calculus of tensors Cavitation Cone Contractions (Topology) Convex functions Convex sets Differential operators Functional analysis Hilbert space Inequalities (Mathematics) Integral operators JetsFluid dynamics Kernel functions Monotone operators Nonlinear functional analysis Nonlinear operators Potential theory (Mathematics) Projection Wakes (Fluid dynamics)
Alternative Names
Eduardo Héctor Zarantonello Argentijns wiskundige (19182010)
Eduardo Héctor Zarantonello Argentine mathematician
Eduardo Héctor Zarantonello argentinischer Mathematiker
Eduardo Héctor Zarantonello argentinsk matematikar
Eduardo Héctor Zarantonello argentinsk matematiker
Eduardo Héctor Zarantonello matemàtic argentí
Eduardo Héctor Zarantonello matemático argentino
Eduardo Héctor Zarantonello matemáticu arxentín (1918–2010)
Eduardo Héctor Zarantonello mathématicien argentin
Sarantonello, È.
Zarantonello, E.H.
Zarantonello, E. H. (Eduardo H.)
Эдуардо Сарантонелло
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