Franklin

Three-space Problems in Banach Space Theory [electronic resource] / by Jesús M. F. Castillo, Manuel González.

Author/Creator:
Castillo, Jesús M. F. author., Author,
Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1667
Lecture Notes in Mathematics, 0075-8434 ; 1667
Format/Description:
Book
1 online resource (XII, 268 pages)
Subjects:
Functional analysis.
Topology.
Geometry.
Local subjects:
Functional Analysis.
Topology.
Geometry.
System Details:
text file PDF
Summary:
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.
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.
Contributor:
González, Manuel. author., Author,
SpringerLink (Online service)
Contained In:
Springer eBooks
Other format:
Printed edition:
Printed edition:
ISBN:
9783540695196
Publisher Number:
10.1007/BFb0112511 doi
Access Restriction:
Restricted for use by site license.
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