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AuthorCastillo, Jesรบs M. F. author
TitleThree-space Problems in Banach Space Theory [electronic resource] / by Jesรบs M. F. Castillo, Manuel Gonzรกlez
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect tohttp://dx.doi.org/10.1007/BFb0112511
Descript XII, 268 p. online resource

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


CONTENT

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


Mathematics Functional analysis Geometry Topology Mathematics Functional Analysis Topology Geometry



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