c0, l1 and l∞ in Function Spaces

Since the birth of Banach space theory, it has been an important goal to know how are the subspaces of a given Banach space. An interesting part of that study has been focused in the search of criteria for a Banach space to have any of the classical sequence spaces as a subspace. Several deep result...

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Detalles Bibliográficos
Autor: Cembranos, Pilar
Tipo de recurso: artículo
Fecha de publicación:1997
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58203
Acceso en línea:https://hdl.handle.net/20.500.14352/58203
Access Level:acceso abierto
Palabra clave:517.982.2
Spaces of vector valued functions
Normed linear spaces
Análisis funcional y teoría de operadores
Descripción
Sumario:Since the birth of Banach space theory, it has been an important goal to know how are the subspaces of a given Banach space. An interesting part of that study has been focused in the search of criteria for a Banach space to have any of the classical sequence spaces as a subspace. Several deep results have revealed how the presence (or the absence) of such subspaces provides a very good insight in the internal structure of the Banach spaces involved.