Banach Spaces of Vector-Valued Functions

1997
ISBN: 978-3-540-63745-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1676, 120 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 207 g

Reihe: Lecture Notes in Mathematics

"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.

Zielgruppe

Research

Autoren/Hrsg.

Mendoza, Jose

Cembranos, Pilar

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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.