Banach Spaces of Vector-Valued Functions

• Main Authors: Cembranos, Pilar (Author, http://id.loc.gov/vocabulary/relators/aut), Mendoza, Jose (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1676
• Subjects: Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.

"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...

Table of Contents:

• 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.