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Autor: Adam Bowers
ISBN-13: 9781493919444
Einband: Book
Seiten: 232
Gewicht: 383 g
Format: 235x159x15 mm
Sprache: Englisch

An Introductory Course in Functional Analysis

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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.
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Presents the basics of functional analysis according to Nigel Kalton, a leader in the field
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Foreword.- Preface.- 1 Introduction.- 2 Classical Banach spaces and their duals.- 3 The Hahn-Banach theorems.- 4 Consequences of completeness.- 5 Consequences of convexity.- 6 Compact operators and Fredholm theory.- 7 Hilbert space theory.- 8 Banach algebras.- A Basics of measure theory.- B Results from other areas of mathematics.- References.- Index.
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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.
Autor: Adam Bowers, Nigel J. Kalton
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.

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Autor: Adam Bowers
ISBN-13 :: 9781493919444
ISBN: 149391944X
Erscheinungsjahr: 12.12.2014
Verlag: Springer-Verlag GmbH
Gewicht: 383g
Seiten: 232
Sprache: Englisch
Sonstiges: Taschenbuch, 235x159x15 mm, 2 schwarz-weiße Abbildungen, Bibliographie