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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2017, Volume 454, Issue 1, pp. 41 - 58
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
Journal Article
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
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
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
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
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
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2015, Volume 423, Issue 2, pp. 1410 - 1426
Journal Article
Positivity, ISSN 1385-1292, 3/2014, Volume 18, Issue 1, pp. 29 - 39
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
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
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 370, Issue 2, pp. 498 - 505
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
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
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
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
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
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
Journal Article
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