Functional Analysis : : A Terse Introduction /

Functional Analysis : : A Terse Introduction / / Humberto Rafeiro, Gerardo Chacón, Juan Camilo Vallejo.

This textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content. Starting from a dedicated...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017
VerfasserIn:
Chacón, Gerardo,
Rafeiro, Humberto,
Vallejo, Juan Camilo,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2016]
©2017
Year of Publication:2016
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (XVIII, 227 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • List of Figures
  • Basic Notation
  • 1. Choice Principles
  • 2. Hilbert Spaces
  • 3. Completeness, Completion and Dimension
  • 4. Linear Operators
  • 5. Functionals and Dual Spaces
  • 6. Fourier Series
  • 7. Fourier Transform
  • 8. Fixed Point Theorem
  • 9. Baire Category Theorem
  • 10. Uniform Boundedness Principle
  • 11. Open Mapping Theorem
  • 12. Closed Graph Theorem
  • 13. Hahn–Banach Theorem
  • 14. The Adjoint Operator
  • 15. Weak Topologies and Reflexivity
  • 16. Operators in Hilbert Spaces
  • 17. Spectral Theory of Operators on Hilbert Spaces
  • 18. Compactness
  • Bibliography
  • Index

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