Author	Castillo, Jesรบs M. F. author
Title	Three-space Problems in Banach Space Theory [electronic resource] / by Jesรบs M. F. Castillo, Manuel Gonzรกlez
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect to	http://dx.doi.org/10.1007/BFb0112511
Descript	XII, 268 p. online resource

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

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

1. Mathematics
2. Functional analysis
3. Geometry
4. Topology
5. Mathematics
6. Functional Analysis
7. Topology
8. Geometry