Introduction to Operator Theory I Elements of Functional Analysis
This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writin...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1977, 1977
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| Edition: | 1st ed. 1977 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Preliminaries
- 1 Set theory
- 2 Linear algebra
- 3 General topology
- 4 Metric spaces
- 5 Complex analysis
- 6 Measurability
- 7 Integrals and measures
- 8 Measure theory
- 9 More integration theory
- 10 Measure and topology
- II Banach Spaces
- 11 Normed linear spaces
- 12 Bounded linear transformations
- 13 The open mapping theorem
- 14 The Hahn-Banach theorem
- 15 Local convexity and weak topologies
- 16 Duality
- 17 Banach spaces and integration theory
- 18 The spaces C(X)
- 19 Vector sums and bases
- References to the examples, propositions, and problems