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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Bibliographic Details
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