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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Bowers, Adam (Συγγραφέας), Kalton, Nigel J. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
Σειρά:Universitext,
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.