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Banach spaces of vector-valued functions

"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The...

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Detalles Bibliográficos
Autores principales: Cembranos, Pilar, Mendoza, José
Lenguaje:eng
Publicado: Springer 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0096765
http://cds.cern.ch/record/1691672
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author Cembranos, Pilar
Mendoza, José
author_facet Cembranos, Pilar
Mendoza, José
author_sort Cembranos, Pilar
collection CERN
description "When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
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publishDate 1997
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spelling cern-16916722021-04-21T21:08:01Zdoi:10.1007/BFb0096765http://cds.cern.ch/record/1691672engCembranos, PilarMendoza, JoséBanach spaces of vector-valued functionsMathematical Physics and Mathematics"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.Springeroai:cds.cern.ch:16916721997
spellingShingle Mathematical Physics and Mathematics
Cembranos, Pilar
Mendoza, José
Banach spaces of vector-valued functions
title Banach spaces of vector-valued functions
title_full Banach spaces of vector-valued functions
title_fullStr Banach spaces of vector-valued functions
title_full_unstemmed Banach spaces of vector-valued functions
title_short Banach spaces of vector-valued functions
title_sort banach spaces of vector-valued functions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0096765
http://cds.cern.ch/record/1691672
work_keys_str_mv AT cembranospilar banachspacesofvectorvaluedfunctions
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