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A First Course in Functional Analysis

โœ Scribed by S. David Promislow

Publisher
Wiley
Year
2008
Tongue
English
Leaves
291
Edition
1
Category
Library
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โœฆ Table of Contents

  1. Linear Spaces and Operators
  2. Normed Linear Spaces: The Basics
  3. Major Banach Space Theorems
  4. Hilbert Spaces
  5. Hahn-Banach Theorem
  6. Duality
  7. Topological Vector Spaces
  8. The Spectrum
  9. Compact Operators
  10. Application to Integral and Differential Equations
  11. Spectral Theorem for Bounded, Self-Adjoint Operators
    Appendix A Zorn's Lemma
    Appendix B Stone-Weierstrass Theorem
    Appendix C Extended Real Numbers and Limit Points of Sequences
    Appendix D Measure and Integration
    Appendix E Tychonoff's Theorem

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