02705nam 2200637 450 99646686890331620220821111527.03-540-69639-310.1007/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)99100000000043733720220821d1997 uy 0engurnn#008mamaatxtccrBanach spaces of vector-valued functions /Pilar Cembranos and Jose Mendoza1st ed. 1997.Berlin :Springer,[1997]©19971 online resource (VIII, 120 p.)Lecture Notes in Mathematics,0075-8434 ;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,0075-8434 ;1676Banach spacesVector valued functionsBanach spaces.Vector valued functions.515/.73246E40mscCembranos Pilar1957-441046Mendoza José1957-MiAaPQMiAaPQMiAaPQBOOK996466868903316Banach spaces of vector-valued functions261846UNISA