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Functional Analysis (Paperback)
This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.
Table of Content: PART I: GENERAL THEORY Chapter 1: Topological Vector Space Chapter 2: Completeness Chapter 3: Convexity Chapter 4: Duality in Banach Spaces Chapter 5: Some Applications PART II: DISTRIBUTIONS AND FOURIER TRANSFORMS Chapter 6: Test Functions and Distributions Chapter 7: Fourier Transforms Chapter 8: Applications to Differential Equations Chapter 9: Tauberian Theory PART III: BANACH ALGEBRAS AND SPECTRAL THEORY Chapter 10: Banach Algebras Chapter 11: Commutative Banach Algebras Chapter 12: Bounded Operators on a Hillbert Space Chapter 13: Unbounded Operators Appendix A: Compactness and Continuity Appendix B: Notes and Comments Bibliography List of Special Symbols Index top
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