Pilar Cembranos, Jose Mendoza

Banach Spaces of Vector-Valued Functions

• Broschiertes Buch

Produktbeschreibung

"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.

Produktdetails

• Lecture Notes in Mathematics 1676
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-63745-5
• 1997
• Seitenzahl: 128
• Erscheinungstermin: 27. November 1997
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 222g
• ISBN-13: 9783540637455
• ISBN-10: 3540637451
• Artikelnr.: 09205670

Inhaltsangabe

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.