An Introductory Course in Functional Analysis

Nigel J. Kalton

ISBN 10: 149391944X / ISBN 13: 9781493919444

Editore: Springer New York, Springer New York Dez 2014, 2014

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Neuware -Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn¿Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman¿Pettis theorem.With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 248 pp. Englisch.

Codice articolo 9781493919444

Dati bibliografici

• Titolo: An Introductory Course in Functional Analysis
• Editore: Springer New York, Springer New York Dez 2014
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 149391944X
• ISBN 13: 9781493919444
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

Informazioni sull?autore

Nigel Kalton (1946 2010) was Curators' Professor of Mathematics at the University of Missouri. Adam Bowers is a mathematics lecturer at the University of California, San Diego.