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Record Nr. |
UNISA996466868903316 |
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Autore |
Cembranos Pilar <1957-> |
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Titolo |
Banach spaces of vector-valued functions / / Pilar Cembranos and Jose Mendoza |
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Pubbl/distr/stampa |
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Berlin : , : Springer, , [1997] |
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©1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (VIII, 120 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1676 |
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Classificazione |
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Disciplina |
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Soggetti |
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Banach spaces |
Vector valued functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Preliminaries -- Copies of c 0 and ?1 in L p (?, X) -- C(K, X) spaces -- L p (?, X) spaces -- The space L ?(?, X) -- Tabulation of results -- Some related open problems. |
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Sommario/riassunto |
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"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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