Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2017, Volume 454, Issue 1, pp. 41 - 58

This paper is motivated by a long-standing conjecture of Dinculeanu from 1967. Let X and Y be Banach spaces and let Ω be a compact Hausdorff space. Dinculeanu...

Representing measure | Operators on tensor products | Banach spaces | Continuous and p-continuous vector-valued functions | Absolutely [formula omitted]-summing operators | Absolutely (r,p)-summing operators | Absolutely (r, p)-summing operators | MATHEMATICS | MATHEMATICS, APPLIED | ABSOLUTELY SUMMING OPERATORS | TENSOR-PRODUCTS | NUCLEAR OPERATORS | BANACH-SPACES | COMPACT-OPERATORS

Representing measure | Operators on tensor products | Banach spaces | Continuous and p-continuous vector-valued functions | Absolutely [formula omitted]-summing operators | Absolutely (r,p)-summing operators | Absolutely (r, p)-summing operators | MATHEMATICS | MATHEMATICS, APPLIED | ABSOLUTELY SUMMING OPERATORS | TENSOR-PRODUCTS | NUCLEAR OPERATORS | BANACH-SPACES | COMPACT-OPERATORS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2014, Volume 415, Issue 2, pp. 889 - 901

We introduce the notion of Lipschitz compact (weakly compact, finite-rank, approximable) operators from a pointed metric space X into a Banach space E. We...

Lipschitz operator | Strongly Lipschitz p-integral operator | Free Banach space | Strongly Lipschitz p-nuclear operator | FREE BANACH-SPACES | MATHEMATICS | MATHEMATICS, APPLIED | P-SUMMING OPERATORS

Lipschitz operator | Strongly Lipschitz p-integral operator | Free Banach space | Strongly Lipschitz p-nuclear operator | FREE BANACH-SPACES | MATHEMATICS | MATHEMATICS, APPLIED | P-SUMMING OPERATORS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 09/2012, Volume 75, Issue 13, pp. 5270 - 5282

In this paper, we introduce strongly Lipschitz p-integral operators, strongly Lipschitzp-nuclear operators and Lipschitz p-nuclear operators. It is shown that...

Lipschitz [formula omitted]-summing operators | Lipschitz [formula omitted]-integral operators | Lipschitz [formula omitted]-nuclear operators | [formula omitted]-integral operators | [formula omitted]-nuclear operators | [formula omitted]-summing operators | p-summing operators | Lipschitz p-integral operators | Lipschitz p-summing operators | p-nuclear operators | Lipschitz p-nuclear operators | p-integral operators | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | Nuclear industry

Lipschitz [formula omitted]-summing operators | Lipschitz [formula omitted]-integral operators | Lipschitz [formula omitted]-nuclear operators | [formula omitted]-integral operators | [formula omitted]-nuclear operators | [formula omitted]-summing operators | p-summing operators | Lipschitz p-integral operators | Lipschitz p-summing operators | p-nuclear operators | Lipschitz p-nuclear operators | p-integral operators | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | Nuclear industry

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 09/2017, Volume 89, Issue 1, pp. 69 - 88

Let X and Y be Banach spaces and let be a compact Hausdorff space. In 1973, Swartz, in his by now classical theorem, characterized the absolute summability of...

Operator-valued measures | r-Variation | Banach spaces | Absolutely (r, q) - and absolutely p-summing operators | p-Continuous vector-valued functions | MATHEMATICS | INJECTIVE TENSOR-PRODUCTS | NUCLEAR OPERATORS | INTEGRAL-OPERATORS | Absolutely (r, q)- and absolutely p-summing operators | SUMMING OPERATORS

Operator-valued measures | r-Variation | Banach spaces | Absolutely (r, q) - and absolutely p-summing operators | p-Continuous vector-valued functions | MATHEMATICS | INJECTIVE TENSOR-PRODUCTS | NUCLEAR OPERATORS | INTEGRAL-OPERATORS | Absolutely (r, q)- and absolutely p-summing operators | SUMMING OPERATORS

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 225 - 232

We give the necessary and/or sufficient conditions for the multiplication operators between two vector valued sequence spaces to be mixing. As a consequence of...

47L20 | Theoretical, Mathematical and Computational Physics | Multiplication operator | 46A45 | Secondary 46B45 | Vector valued Banach sequence spaces | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | p-Summing linear operators | Mixing linear operators | MATHEMATICS | PROPERTY BETA | Multiplication | Operators | Multiplication & division

47L20 | Theoretical, Mathematical and Computational Physics | Multiplication operator | 46A45 | Secondary 46B45 | Vector valued Banach sequence spaces | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | p-Summing linear operators | Mixing linear operators | MATHEMATICS | PROPERTY BETA | Multiplication | Operators | Multiplication & division

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2017, Volume 111, Issue 1, pp. 167 - 175

We introduce the unifying concept of (p, S)-summing operator which include the well-known concept of p-summing operator as well the concept of summing operator...

Splitting property | Mixing operators | 47L20 | p -Summing operators | Theoretical, Mathematical and Computational Physics | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | Operator ideals | p-Summing operators | MATHEMATICS | PIETSCH DOMINATION THEOREM | Operators | Theorems | Splitting | Theorem proving

Splitting property | Mixing operators | 47L20 | p -Summing operators | Theoretical, Mathematical and Computational Physics | Primary 47B10 | Mathematics, general | Mathematics | Applications of Mathematics | Operator ideals | p-Summing operators | MATHEMATICS | PIETSCH DOMINATION THEOREM | Operators | Theorems | Splitting | Theorem proving

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2016, Volume 436, Issue 1, pp. 217 - 236

We establish the basics of the theory of Lipschitz operator ideals with the aim of recovering several classes of Lipschitz maps related to absolute summability...

Lipschitz operator ideal | Approximation property | Lipschitz mapping | Lipschitz absolutely summing operators | FREE BANACH-SPACES | MATHEMATICS, APPLIED | HOMOGENEOUS POLYNOMIALS | COMPACT-OPERATORS | INTEGRAL OPERATORS | MATHEMATICS | NONLINEAR GEOMETRY | FINITE-RANK OPERATORS | NUCLEAR OPERATORS | P-SUMMING OPERATORS

Lipschitz operator ideal | Approximation property | Lipschitz mapping | Lipschitz absolutely summing operators | FREE BANACH-SPACES | MATHEMATICS, APPLIED | HOMOGENEOUS POLYNOMIALS | COMPACT-OPERATORS | INTEGRAL OPERATORS | MATHEMATICS | NONLINEAR GEOMETRY | FINITE-RANK OPERATORS | NUCLEAR OPERATORS | P-SUMMING OPERATORS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/2009, Volume 137, Issue 9, pp. 2989 - 2995

The notion of Lipschitz p-summing operator is introduced. A nonlinear Pietsch factorization theorem is proved for such operators, and it is shown that a...

Linear transformations | Embeddings | Mathematical functions | Banach space | Factorization | Absolutely summing operator | P-summing operator | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | BANACH-SPACES | p-summing operator | absolutely summing operator | QUOTIENTS

Linear transformations | Embeddings | Mathematical functions | Banach space | Factorization | Absolutely summing operator | P-summing operator | MATHEMATICS | MATHEMATICS, APPLIED | METRIC-SPACES | BANACH-SPACES | p-summing operator | absolutely summing operator | QUOTIENTS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2015, Volume 423, Issue 2, pp. 1410 - 1426

We consider the space of molecules endowed with the transposed version of the Chevet–Saphar norm and we identify its dual space with the space of Lipschitz...

Strongly p-summing operators | Lipschitz [formula omitted]-summing operators | Lipschitz p-summing operators | Pietsch factorization | p-Summing operators | Lipschitz Cohen strongly p-summing operators | P-Summing operators | Lipschitz (p, r, s)-summing operators | Lipschitz (p,r,s)-summing operators | FREE BANACH-SPACES | MATHEMATICS | MATHEMATICS, APPLIED

Strongly p-summing operators | Lipschitz [formula omitted]-summing operators | Lipschitz p-summing operators | Pietsch factorization | p-Summing operators | Lipschitz Cohen strongly p-summing operators | P-Summing operators | Lipschitz (p, r, s)-summing operators | Lipschitz (p,r,s)-summing operators | FREE BANACH-SPACES | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Positivity, ISSN 1385-1292, 3/2014, Volume 18, Issue 1, pp. 29 - 39

We give the necessary and sufficient conditions for a multilinear bounded operator on $$C(\Omega _{1}) \times \cdots \times C(\Omega _{k}) \times X_{k+1}\times...

Mathematics | Banach spaces of continuous functions | Nuclear operators | Multiple $$p$$ -summing operators | Secondary 47B10 | 47L20 | Operator Theory | 46G10 | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | p$$ -summing operators | Primary 47H60 | Econometrics | p-summing operators | Multiple p-summing operators | MATHEMATICS | INJECTIVE TENSOR-PRODUCTS | SPACES | THEOREM | VALUES | INTEGRAL-OPERATORS | Studies | Banach spaces

Mathematics | Banach spaces of continuous functions | Nuclear operators | Multiple $$p$$ -summing operators | Secondary 47B10 | 47L20 | Operator Theory | 46G10 | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | p$$ -summing operators | Primary 47H60 | Econometrics | p-summing operators | Multiple p-summing operators | MATHEMATICS | INJECTIVE TENSOR-PRODUCTS | SPACES | THEOREM | VALUES | INTEGRAL-OPERATORS | Studies | Banach spaces

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 2011, Volume 261, Issue 2, pp. 387 - 407

Building upon the ideas of R. Arens and J. Eells (1956) [1] we introduce the concept of spaces of Banach-space-valued molecules, whose duals can be naturally...

p-Summing operator | P-Summing operator | MATHEMATICS | PRODUCTS | BANACH-SPACES | Heterocyclic compounds

p-Summing operator | P-Summing operator | MATHEMATICS | PRODUCTS | BANACH-SPACES | Heterocyclic compounds

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 06/2015, Volume 288, Issue 8-9, pp. 1028 - 1046

We prove that Cohen p‐summing operators satisfy multiple summability properties. Some of these multiple summability properties are new even in the linear case....

absolutely p‐summing operators | Multiple p‐summing operators | Primary: 46G25; Secondary: 47H60; 47L22 | Cohen summing operators | Multiple p-summing operators | Absolutely p-summing operators | MATHEMATICS | absolutely p-summing operators | THEOREM | MULTILINEAR OPERATORS

absolutely p‐summing operators | Multiple p‐summing operators | Primary: 46G25; Secondary: 47H60; 47L22 | Cohen summing operators | Multiple p-summing operators | Absolutely p-summing operators | MATHEMATICS | absolutely p-summing operators | THEOREM | MULTILINEAR OPERATORS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 370, Issue 2, pp. 498 - 505

A Banach space X is said to have the k p -approximation property ( k p -AP) if for every Banach space Y, the space F ( Y , X ) of finite rank operators is...

p-compact operator | p-nuclear operator | Saphar's p-approximation property | [formula omitted]-space | p-summing operator | Quasi p-nuclear operator | Trace functional | Relatively p-compact set | p-approximation property | p-integral operator | P-integral operator | P-nuclear operator | P-approximation property | Lp-space | P-compact operator | P-summing operator | MATHEMATICS, APPLIED | NUCLEAR | ORDER-P | APPROXIMATION PROPERTY | MATHEMATICS | L(P) | L-p-space | SUBSPACES | ADJOINTS

p-compact operator | p-nuclear operator | Saphar's p-approximation property | [formula omitted]-space | p-summing operator | Quasi p-nuclear operator | Trace functional | Relatively p-compact set | p-approximation property | p-integral operator | P-integral operator | P-nuclear operator | P-approximation property | Lp-space | P-compact operator | P-summing operator | MATHEMATICS, APPLIED | NUCLEAR | ORDER-P | APPROXIMATION PROPERTY | MATHEMATICS | L(P) | L-p-space | SUBSPACES | ADJOINTS

Journal Article

Positivity, ISSN 1385-1292, 04/2019, Volume 23, Issue 2, pp. 379 - 395

The aim of this work is to give and study the notion of Cohen positive p-summing multilinear operators. We prove a natural analog of the Pietsch domination...

Cohen positive strongly p-summing multilinear operators | Positive strongly p-summing operators | Positive p-summing operators | Banach lattice | Tensor norm | MATHEMATICS | Linear operators

Cohen positive strongly p-summing multilinear operators | Positive strongly p-summing operators | Positive p-summing operators | Banach lattice | Tensor norm | MATHEMATICS | Linear operators

Journal Article

Collectanea Mathematica, ISSN 0010-0757, 9/2013, Volume 64, Issue 3, pp. 395 - 408

We consider the class of Cohen strongly multilinear operators and we prove some inclusion and coincidence properties with different old classes. As...

Cohen strongly $$p$$ -summing multilinear operators | 47H60 | Mathematics | Geometry | Algebra | p$$ -Dominated multilinear operators | 46B25 | Analysis | Hilbert–Schmidt operators | Strongly $$p$$ -summing operators | Applications of Mathematics | p$$ -Summing operators | 46G25 | Strongly p-summing operators | Hilbert-Schmidt operators | Cohen strongly p-summing multilinear operators | p-Dominated multilinear operators | p-Summing operators | MATHEMATICS | MATHEMATICS, APPLIED | POLYNOMIAL CHARACTERIZATION | NUCLEAR OPERATORS | HOMOGENEOUS POLYNOMIALS | L-INFINITY-SPACES | IDEALS

Cohen strongly $$p$$ -summing multilinear operators | 47H60 | Mathematics | Geometry | Algebra | p$$ -Dominated multilinear operators | 46B25 | Analysis | Hilbert–Schmidt operators | Strongly $$p$$ -summing operators | Applications of Mathematics | p$$ -Summing operators | 46G25 | Strongly p-summing operators | Hilbert-Schmidt operators | Cohen strongly p-summing multilinear operators | p-Dominated multilinear operators | p-Summing operators | MATHEMATICS | MATHEMATICS, APPLIED | POLYNOMIAL CHARACTERIZATION | NUCLEAR OPERATORS | HOMOGENEOUS POLYNOMIALS | L-INFINITY-SPACES | IDEALS

Journal Article

Topology and its Applications, ISSN 0166-8641, 04/2016, Volume 203, pp. 22 - 31

The notions of Lipschitz-free compact and Lipschitz-free weakly compact operators between metric spaces are introduced. Some nonlinear versions of Schauder's...

Lipschitz operator | Lipschitz p-summing operator | Lipschitz p-integral operator | Lipschitz-free Banach space

Lipschitz operator | Lipschitz p-summing operator | Lipschitz p-integral operator | Lipschitz-free Banach space

Journal Article

Studia Mathematica, ISSN 0039-3223, 2010, Volume 197, Issue 3, pp. 291 - 304

For p >= 1, a set K in a Banach space X is said to be relatively p-compact if there exists a p-summable sequence (x(n)) in X with K subset of {Sigma(n)...

Quasi p-nuclear operator | P-compact sets | P-nuclear operator | P-compact operator | P-summing operator | Weakly p-compact operator | MATHEMATICS | p-compact operator | p-nuclear operator | p-compact sets | APPROXIMATION | weakly p-compact operator | ORDER-P | p-summing operator | quasi p-nuclear operator

Quasi p-nuclear operator | P-compact sets | P-nuclear operator | P-compact operator | P-summing operator | Weakly p-compact operator | MATHEMATICS | p-compact operator | p-nuclear operator | p-compact sets | APPROXIMATION | weakly p-compact operator | ORDER-P | p-summing operator | quasi p-nuclear operator

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 350, Issue 1, pp. 360 - 368

Multiple summing operators have been proven to be useful in several areas of analysis and mathematical physics. In this paper we prove reverse inclusions for...

Multilinear operators | p-Summing | MATHEMATICS | MATHEMATICS, APPLIED | MULTILINEAR FORMS | THEOREM | SPACES | EXTENSION

Multilinear operators | p-Summing | MATHEMATICS | MATHEMATICS, APPLIED | MULTILINEAR FORMS | THEOREM | SPACES | EXTENSION

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 09/2020, Volume 279, Issue 4, p. 108572

We apply the geometric approach provided by Σ-operators to develop a theory of p-summability for multilinear operators. In this way, we introduce the notion of...

Absolutely p-summing operators | Multilinear operators | Dunford-Pettis operators | Lipschitz mappings | Mathematics - Functional Analysis

Absolutely p-summing operators | Multilinear operators | Dunford-Pettis operators | Lipschitz mappings | Mathematics - Functional Analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 338, Issue 1, pp. 292 - 298

We show that, in certain situations, we have lineability in the set of bounded linear and non-absolutely summing operators. Examples on lineability of the set...

p-Summing operators | p-Integral operators | Lineability | MATHEMATICS | p-summing operators | MATHEMATICS, APPLIED | SPACES | NUCLEAR OPERATORS | lineability | p-integral operators

p-Summing operators | p-Integral operators | Lineability | MATHEMATICS | p-summing operators | MATHEMATICS, APPLIED | SPACES | NUCLEAR OPERATORS | lineability | p-integral operators

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.