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Book Cover
E-RESOURCE
Author Castillo, Jes⵳ M. F.

Title Three-space problems in Banach space theory [electronic resource] / Jes⵳ M.F. Castillo, Manuel Gonz⡬ez.

Published Berlin ; New York : Springer, ñ997.

Copies

Location Call No. Status
 UniM INTERNET resource    AVAILABLE
Physical description 1 online resource (xii, 267 pages).
Series Lecture notes in mathematics, 0075-8434 ; 1667
Lecture notes in mathematics (Springer-Verlag) ; 1667.
Bibliography Includes bibliographical references (p. [239]-262) and index.
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.
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.
Notes Description based on print version record.
Other author Gonz⡬ez, Manuel, 1957-
Subject Banach spaces.
Ultraproducts.
Duality theory (Mathematics)
Banach spaces.
Duality theory (Mathematics)
Ultraproducts.
Banachruimten.
Espacos (analise funcional)
Electronic books.
ISBN 9783540695196 (electronic bk.)
3540695192 (electronic bk.)
3540633448
9783540633440
3540695192