Three-space problems in Banach space theory / / Jesús M.F. Castillo, Manuel González

• Autore: Castillo Jesús M. F.
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer, , [1997]; ©1997
• Edizione: 1st ed. 1997.
• Descrizione fisica: 1 online resource (XII, 268 p.)
• Disciplina: 510
• Soggetto topico: Ultraproducts; Duality theory (Mathematics); Banach spaces
• Persona (resp. second.): GonzálezManuel <1957->
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages [239]-262) and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Three-space problems in banach space theory
• ISBN: 3-540-69519-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466590903316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1667.