Elementary Functional Analysis / / Marat V. Markin.
While there is a plethora of excellent, but mostly "tell-it-all'' books on the subject, this one is intended to take a unique place in what today seems to be a still wide open niche for an introductory text on the basics of functional analysis to be taught within the existing constrai...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Textbook
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Physical Description: | 1 online resource (XVI, 314 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- 1. Preliminaries
- 2. Metric Spaces
- 3. Normed Vector and Banach Spaces
- 4. Inner Product and Hilbert Spaces
- 5. Linear Operators and Functionals
- 6. Three Fundamental Principles of Linear Functional Analysis
- 7. Duality and Reflexivity
- A The Axiom of Choice and Equivalents
- Bibliography
- Index