Search results for "Absolutely summing operators"

showing 5 items of 5 documents

Absolutely summing operators on C[0,1] as a tree space and the bounded approximation property

AbstractLet X be a Banach space. For describing the space P(C[0,1],X) of absolutely summing operators from C[0,1] to X in terms of the space X itself, we construct a tree space ℓ1tree(X) on X. It consists of special trees in X which we call two-trunk trees. We prove that P(C[0,1],X) is isometrically isomorphic to ℓ1tree(X). As an application, we characterize the bounded approximation property (BAP) and the weak BAP in terms of X∗-valued sequence spaces.

Banach spacesAbsolutely summing operatorsTwo-trunk treesContinuous functions on [01]Linear B-splinesBounded approximation propertiesJournal of Functional Analysis
researchProduct

Lipschitz operator ideals and the approximation property

2016

[EN] 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 that have been introduced in the literature in the last years. As an application we extend the notion and main results on the approximation property for Banach spaces to the case of metric spaces. (C) 2015 Elsevier Inc. All rights reserved.

Discrete mathematicsPure mathematicsApproximation propertyLipschitz mappingApplied Mathematics010102 general mathematicsBanach space010103 numerical & computational mathematicsLipschitz operator idealLipschitz continuity01 natural sciencesMetric spaceOperator (computer programming)Lipschitz domainLipschitz absolutely summing operatorsMetric mapApproximation property0101 mathematicsMATEMATICA APLICADAAnalysisMathematics
researchProduct

Norm estimates for operators from Hp to ℓq

AbstractWe give upper and lower estimates of the norm of a bounded linear operator from the Hardy space Hp to ℓq in terms of the norm of the rows and the columns of its associated matrix in certain vector-valued sequence spaces.

Hardy spacesAbsolutely summing operatorsVector-valued BMOVector-valued sequence spacesJournal of Mathematical Analysis and Applications
researchProduct

A characterization of absolutely summing operators by means of McShane integrable functions

2004

AbstractAbsolutely summing operators between Banach spaces are characterized by means of McShane integrable functions.

Pettis integralPure mathematicsMathematics::Functional AnalysisMcShane integralIntegrable systemStatistics::ApplicationsApplied MathematicsMathematical analysisBanach spaceCharacterization (mathematics)Absolutely summing operatorSettore MAT/05 - Analisi MatematicaPettis integralabsolutely summing operatorsAnalysisMathematics
researchProduct

On weakly measurable stochastic processes and absolutely summing operators

2006

A characterization of absolutely summing operators by means of McShane integrable stochastic processes is considered

Pettis integralSettore MAT/05 - Analisi MatematicaStochastic processGeneral MathematicsMathematical analysisApplied mathematicsPettis integral McShane integral amart uniform amart absolutely summing operatorsMathematicsMathematica Bohemica
researchProduct