Author | Cembranos, Pilar. author |
---|---|

Title | Banach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, Josรฉ Mendoza |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1997 |

Connect to | http://dx.doi.org/10.1007/BFb0096765 |

Descript | VIII, 120 p. online resource |

SUMMARY

"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

CONTENT

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

Mathematics
Functional analysis
Operator theory
Mathematics
Functional Analysis
Operator Theory