Three-space Problems in Banach Space Theory

• Main Authors: Castillo, Jesus M.F (Author, http://id.loc.gov/vocabulary/relators/aut), González, Manuel (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, 1667
• Subjects: Functional analysis.; Topology.; Geometry.; Functional Analysis.

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...

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.