An Introductory Course in Functional Analysis
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...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2014.
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Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.