Three-space Problems in Banach Space Theory

Jesús M. F. Castillo, Manuel González (auth.)3540633448, 9783540633440

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.

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Table of contents :
Three-space constructions….Pages 1-44
Methods to obtain 3 SP ideals….Pages 45-80
Classical Banach spaces….Pages 81-112
Topological Properties of Banach Spaces….Pages 113-155
Geometrical Properties….Pages 156-195
Homological Properties….Pages 196-220
Approximation Properties….Pages 221-231