0000000000328821

AUTHOR

Enrique Alfonso Sánchez Pérez

showing 3 related works from this author

Representation and factorization theorems for almost-Lp-spaces

2019

The first and fourth authors gratefully acknowledge the support of Ministerio de Ciencia, Innovacibn y Universidades (Spain), Agencia Estatal de Investigaciones, and FEDER, under projects MTM2014-53009-P (J.M. Calabuig) and MTM2016-77054-C2-1-P (E.A. Sanchez Perez).

Discrete mathematicsFactorizationGeneral MathematicsBanach lattice010102 general mathematicsRepresentation (systemics)010103 numerical & computational mathematics0101 mathematics01 natural sciencesMathematicsIndagationes Mathematicae
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The support localization property of the strongly embedded subspaces of banach function spaces

2015

[EN] Motivated by the well known Kadec-Pelczynski disjointifcation theorem, we undertake an analysis of the supports of non-zero functions in strongly embedded subspaces of Banach functions spaces. The main aim is to isolate those properties that bring additional information on strongly embedded subspaces. This is the case of the support localization property, which is a necessary condition fulflled by all strongly embedded subspaces. Several examples that involve Rademacher functions, the Volterra operator, Lorentz spaces or Orlicz spaces are provided.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsVolterra operatorFunctional analysisDisjoint sequenceStrongly embedded subspaceFunction spaceGeneral MathematicsLorentz transformationVector measure integrationBanach function spaceLinear subspacesymbols.namesakesymbolsInterpolation spaceBirnbaum–Orlicz spaceLp spaceMATEMATICA APLICADAMathematics
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Domination spaces and factorization of linear and multilinear summing operators

2015

[EN] It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutely p-summing linear operators, (p, sigma)-absolutely continuous linear operators, factorable strongly p-summing multilinear operators, (p(1), ... , p(n))-dominated multilinear operators and dominated (p(1), ... , p(n); sigma)-continuous multilinear operators.

Discrete mathematicsMultilinear mapPietsch's domination theoremMultilinear summing operators010102 general mathematicsMathematics::Classical Analysis and ODEs010103 numerical & computational mathematicsPietsch's domination theorem factorization of operators multilinear summing operators.Factorization of operators01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics (miscellaneous)FactorizationFOS: Mathematics0101 mathematicsMATEMATICA APLICADAMathematics
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