Three-space Problems in Banach Space Theory

by Jesus M.F. Castillo, Manuel González

Overview

This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.

Product Details

ISBN-13:	9783540633440
Publisher:	Springer Berlin Heidelberg
Publication date:	11/18/1997
Series:	Lecture Notes in Mathematics , #1667
Edition description:	1997
Pages:	268
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Foreword.- Contents.- Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum.- Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening.- Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space.- Topological properties of Banach spaces: Appendix. Polynomial properties.- Geometrical properties.- Homological properties.- Approximation properties.- Resume.- Bibliography.- Subject Index.