Lipschitz operator ideals and the approximation property

[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 approxima...

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Detalles Bibliográficos
Autores: Achour, D., Rueda, P., Yahi, R., Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/150346
Acceso en línea:https://riunet.upv.es/handle/10251/150346
Access Level:acceso abierto
Palabra clave:Lipschitz operator ideal
Lipschitz mapping
Approximation property
Lipschitz absolutely summing operators
MATEMATICA APLICADA
Descripción
Sumario:[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.