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.
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.
Artikelnr. des Verlages: 10553314, 978-3-540-63344-0
1997.
Seitenzahl: 280
Erscheinungstermin: 4. November 1997
Englisch
Abmessung: 235mm x 155mm x 16mm
Gewicht: 422g
ISBN-13: 9783540633440
ISBN-10: 3540633448
Artikelnr.: 09198488
Inhaltsangabe
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.
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.
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