02864nam 22006735 450 991014629530332120250801064845.03-540-69639-310.1007/BFb0096765(CKB)1000000000437337(SSID)ssj0000321574(PQKBManifestationID)12115903(PQKBTitleCode)TC0000321574(PQKBWorkID)10279856(PQKB)11010134(DE-He213)978-3-540-69639-1(MiAaPQ)EBC5610933(Au-PeEL)EBL5610933(OCoLC)1078998399(MiAaPQ)EBC6819261(Au-PeEL)EBL6819261(OCoLC)1287129833(PPN)155192140(EXLCZ)99100000000043733720121227d1997 u| 0engurnn#008mamaatxtccrBanach Spaces of Vector-Valued Functions /by Pilar Cembranos, Jose Mendoza1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VIII, 120 p.)Lecture Notes in Mathematics,1617-9692 ;1676Bibliographic Level Mode of Issuance: Monograph3-540-63745-1 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."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.Lecture Notes in Mathematics,1617-9692 ;1676Functional analysisOperator theoryFunctional AnalysisOperator TheoryFunctional analysis.Operator theory.Functional Analysis.Operator Theory.515/.73246E40mscCembranos Pilar1957-441046Mendoza José1957-MiAaPQMiAaPQMiAaPQBOOK9910146295303321Banach spaces of vector-valued functions261846UNINA