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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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Lenguaje: | eng |
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Springer
1997
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Acceso en línea: | https://dx.doi.org/10.1007/BFb0096765 http://cds.cern.ch/record/1691672 |
_version_ | 1780935804202254336 |
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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. |
id | cern-1691672 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1997 |
publisher | Springer |
record_format | invenio |
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 AT mendozajose banachspacesofvectorvaluedfunctions |