Functional Analysis
eBook - ePub

Functional Analysis

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Functional Analysis

About this book

  • Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.
  • Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.
  • Includes an appendix on the Riesz representation theorem.

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Yes, you can access Functional Analysis by Peter D. Lax in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley-Interscience
Year
2014
Print ISBN
9780471556046
eBook ISBN
9781118626740
Edition
1
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Table of Contents
  3. Editors
  4. Title Page
  5. Copyrights
  6. Foreword
  7. CHAPTER 1: Linear Spaces
  8. CHAPTER 2: Linear Maps
  9. CHAPTER 3: The Hahn-Banach Theorem
  10. CHAPTER 4. Applications of the Hahn-Banach theorem
  11. CHAPTER 5. Normed Linear Spaces
  12. CHAPTER 6. Hilbert Space
  13. CHAPTER 7. Applications of Hilbert Space Results
  14. CHAPTER 8. Duals of Normed Linear Spaces
  15. CHAPTER 9. Applications of Duality
  16. CHAPTER 10. Weak Convergence
  17. CHAPTER 11. Applications of Weak Convergence
  18. CHAPTER 12. The Weak and Weak* Topologies
  19. CHAPTER 13. Locally Convex Topologies and the Krein-Milman Theorem
  20. CHAPTER 14. Examples of Convex Sets and Their Extreme Points
  21. CHAPTER 15. Bounded Linear Maps
  22. CHAPTER 16. Examples of Bounded Linear Maps
  23. CHAPTER 17. Banach Algebras and their Elementary Spectral Theory
  24. CHAPTER 18. Gelfandā€™s Theory of Commutative Banach Algebras
  25. CHAPTER 19. Applications of Gelfandā€™s Theory of Commutative Banach Algebras
  26. CHAPTER 20. Examples of Operators and Their Spectra
  27. CHAPTER 21. Compact Maps
  28. CHAPTER 22. Examples of Compact Operators
  29. CHAPTER 23. Positive compact operators
  30. CHAPTER 24. Fredholmā€™s Theory of Integral Equations
  31. CHAPTER 25. Invariant Subspaces
  32. CHAPTER 26. Harmonic Analysis on a Halfline
  33. CHAPTER 27. Index Theory
  34. CHAPTER 28. Compact Symmetric Operators in Hilbert Space
  35. CHAPTER 29. Examples of Compact Symmetric Operators
  36. CHAPTER 30. Trace Class and Trace Formula
  37. CHAPTER 31. Spectral Theory of Symmetric, Normal, and Unitary Operators
  38. CHAPTER 32. Spectral Theory of Self-Adjoint Operators
  39. CHAPTER 33. Examples of Self-Adjoint Operators
  40. CHAPTER 34. Semigroups of Operators
  41. CHAPTER 35. Groups of Unitary Operators
  42. CHAPTER 36. Examples of Strongly Continuous Semigroups
  43. CHAPTER 37. Scattering Theory
  44. CHAPTER 38. A Theorem of Beurling
  45. Texts
  46. Appendix A
  47. Appendix B
  48. Appendix C
  49. Author Index
  50. Subject Index
  51. Volumes