Zarantonello, Eduardo H.
Overview
Works:  24 works in 85 publications in 3 languages and 1,081 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
)
13 editions published between 1957 and 1972 in English and Undetermined and held by 471 WorldCat member libraries worldwide
13 editions published between 1957 and 1972 in English and Undetermined and held by 471 WorldCat member libraries worldwide
Contributions to nonlinear functional analysis; proceedings by
Eduardo H Zarantonello(
Book
)
22 editions published between 1971 and 2014 in English and Undetermined and held by 425 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis
22 editions published between 1971 and 2014 in English and Undetermined and held by 425 WorldCat member libraries worldwide
Contributions to Nonlinear Functional Analysis
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
Extreme contractions in Hilbert space by
Eduardo H Zarantonello(
Book
)
5 editions published in 1975 in English and Undetermined and held by 6 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
5 editions published in 1975 in English and Undetermined and held by 6 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 Algebra of Conical Projections by
Eduardo H Zarantonello(
Book
)
6 editions published in 1973 in English and held by 6 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 6 WorldCat member libraries worldwide
A concise presentation of the algebra of projections on convex cones in Hilbert space is given. (Author)
Differentioids by
Eduardo H Zarantonello(
Book
)
4 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)
4 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)
Strui, sledy i kaverny by
Garrett Birkhoff(
Book
)
5 editions published between 1957 and 1964 in English and Russian and held by 5 WorldCat member libraries worldwide
Jets, Wakes, and Cavities
5 editions published between 1957 and 1964 in English and Russian and held by 5 WorldCat member libraries worldwide
Jets, Wakes, and Cavities
Dense SingleValuedness of Monotone Operators by
Eduardo H Zarantonello(
Book
)
5 editions published in 1973 in English and held by 5 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 5 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)
The meaning of the cauchyschwarzbuniakovski inequality by
Eduardo H Zarantonello(
Book
)
5 editions published in 1973 in English and held by 5 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 5 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)
Projectors on Convex Sets in Reflexive Banach Spaces by
Eduardo H Zarantonello(
Book
)
4 editions published in 1977 in English and held by 4 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 4 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)
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
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
The riesz transform. part i. tensor functions(
Book
)
1 edition published in 1961 in English and held by 2 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
1 edition published in 1961 in English and held by 2 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
)
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
The Riesz transform by
Eduardo H Zarantonello(
Book
)
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
A constructive theory for the equations of flows with free boundaries by
Eduardo H Zarantonello(
Book
)
1 edition published in 1952 in English and held by 1 WorldCat member library worldwide
1 edition published in 1952 in English and held by 1 WorldCat member library worldwide
Differentiable manifolds : lecture notes, SpringSummer, 1963, University of Kansas by
Eduardo H Zarantonello(
Book
)
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
Projections on convex sets in Hilbert space and spectral theory by
Eduardo H Zarantonello(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Grupes semiordenados y lideales de RieszBirkhoff by
Mischa Cotlar(
Book
)
1 edition published in 1948 in Spanish and held by 1 WorldCat member library worldwide
1 edition published in 1948 in Spanish and held by 1 WorldCat member library worldwide
The Riesz transform by
Eduardo H Zarantonello(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Birkhoff, Garrett 19111996 Author
 Mathematics Research Center (United States. Army)
 University of WisconsinMadison Mathematics Research Center Editor
 Mathematics Research Center
 Symposium on Nonlinear Functional Analysis $ (1971 : Madison)
 Symposium on Nonlinear Functional Analysis <1971, Madison, Wis.>
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 University of Wisconsin (Madison) Mathematics Research Center Symposium (1971 : Madison)
 HARVARD UNIV CAMBRIDGE MASS
 Cotlar, Mischa Author
Useful Links
Associated Subjects
Boundary value problems Calculus of tensors Cavitation Cone Contractions (Topology) Convex functions Convex sets Differential operators Functional analysis Geometry, Differential Hilbert space Inequalities (Mathematics) Integral operators JetsFluid dynamics Kernel functions Monotone operators Nonlinear functional analysis Nonlinear operators Potential theory (Mathematics) Projection Semigroups Topology Transformations (Mathematics) Wakes (Fluid dynamics)
Alternative Names
Eduardo Héctor Zarantonello Argentijns wiskundige (19182010)
Eduardo Héctor Zarantonello Argentine mathematician
Eduardo Héctor Zarantonello argentinsk matematikar
Eduardo Héctor Zarantonello argentinsk matematiker
Sarantonello, È.
Zarantonello, E. H.
Zarantonello, E. H. (Eduardo H.)
Эдуардо Сарантонелло
Languages