6533b7dafe1ef96bd126d7f5

RESEARCH PRODUCT

Lipschitz operator ideals and the approximation property

Pilar RuedaR. YahiDahmane AchourEnrique A. Sánchez-pérez

subject

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

description

[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.

yearjournalcountryeditionlanguage
2016-04-01
10.1016/j.jmaa.2015.11.050https://doi.org/10.1016/j.jmaa.2015.11.050