Elements of Functional Analysis - Brossura

Maddox, I. J.

Brossura

ISBN 10: 052135868X ISBN 13: 9780521358682

Casa editrice: Cambridge University Press, 1989

Riassunto

This 1970 textbook aims to provide a truly introductory course in functional analysis.

Su questo libro

Descrizione del libro

The second edition of this successful textbook, first published in 1970, retains the aims of the first, namely to provide a truly introductory course in functional analysis, but the opportunity has been taken to add more detail and worked examples.

Contenuti

Preface to the second edition; Preface to the first edition; Part I. Basic Set Theory and Analysis: 1. Sets and functions; 2. Real and complex numbers; 3. Sequences of functions, continuity, differentiability; 4. Inequalities; Part II. Metric and Topological Spaces: 1. Metric and semimetric spaces; 2. Complete metric spaces; 3. Some metric and topological concepts; 4. Continuous functions on metric and topological spaces; 5. Compact sets; 6. Category and uniform boundedness; Part III. Linear and Linear Metric Spaces: 1. Linear spaces; 2. Subspaces, dimensionality, factorspaces, convex sets; 3. Metric linear spaces, topological linear spaces; 4. Basis; Part IV. Normed Linear Spaces: 1. Convergence and completeness; 2. Linear operators and functionals; 3. The Banach–Steinhaus theorem; 4. The open mapping and closed graph theorems; 5. The Hahn–Banach extension; 6. Weak topology and weak convergence; Part V. 1. Algebras and Banach algebras; 2. Homomorphisms and isomorphisms; 3. The spectrum and the Gelfand–Mazaur theorem; 4. The Weiner algebra; Part VI. Hilbert Space: 1. Inner product and Hilbert spaces; 2. Orthonormal sets; 3. The dual space of a Hilbert space; 4. Symmetric and compact operators; Part VII. Applications: 1. Differential and integral problems; 2. The Sturm–Liouville problem; 3. Matrix transformations in sequence spaces; Appendix; Bibliography; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 052135868X
• ISBN 13: 9780521358682
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 256
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia