Functional Analysis
eBook - PDF

Functional Analysis

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Functional Analysis

About this book

This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.

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

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Imprints page
  6. Contents
  7. Preface
  8. Notation and Conventions
  9. 1 Banach Spaces
  10. 2 The Classical Banach Spaces
  11. 3 Hilbert Spaces
  12. 4 Duality
  13. 5 Bounded Operators
  14. 6 Spectral Theory
  15. 7 Compact Operators
  16. 8 Bounded Operators on Hilbert Spaces
  17. 9 The Spectral Theorem for Bounded Normal Operators
  18. 10 The Spectral Theorem for Unbounded Normal Operators
  19. 11 Boundary Value Problems
  20. 12 Forms
  21. 13 Semigroups of Linear Operators
  22. 14 Trace Class Operators
  23. 15 States and Observables
  24. Appendix A: Zorn’s Lemma
  25. Appendix B: Tensor Products
  26. Appendix C: Topological Spaces
  27. Appendix D: Metric Spaces
  28. Appendix E: Measure Spaces
  29. Appendix F: Integration
  30. Appendix G: Notes
  31. References
  32. Index