Banach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, José Mendoza.
Material type: TextSeries: Lecture Notes in Mathematics ; 1676Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Description: VIII, 120 p. online resourceContent type:- text
- computer
- online resource
- 9783540696391
- 515.7 23
- QA319-329.9
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.
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