Banach Spaces of Vector-Valued Functions
Cembranos, Pilar.
Banach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, José Mendoza. - VIII, 120 p. online resource. - Lecture Notes in Mathematics, 1676 0075-8434 ; . - Lecture Notes in Mathematics, 1676 .
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.
9783540696391
10.1007/BFb0096765 doi
Functional analysis.
Operator theory.
Functional Analysis.
Operator Theory.
QA319-329.9
515.7
Banach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, José Mendoza. - VIII, 120 p. online resource. - Lecture Notes in Mathematics, 1676 0075-8434 ; . - Lecture Notes in Mathematics, 1676 .
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.
9783540696391
10.1007/BFb0096765 doi
Functional analysis.
Operator theory.
Functional Analysis.
Operator Theory.
QA319-329.9
515.7