A First Course in Functional Analysis
eBook - ePub

A First Course in Functional Analysis

  1. 240 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

A First Course in Functional Analysis

About this book

Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

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Yes, you can access A First Course in Functional Analysis by Orr Moshe Shalit in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Dedication
  4. Table of Contents
  5. Preface
  6. 1 Introduction and the Stone-Weierstrass theorem
  7. 2 Hilbert spaces
  8. 3 Orthogonality, projections, and bases
  9. 4 Fourier series
  10. 5 Bounded linear operators on Hilbert space
  11. 6 Hilbert function spaces
  12. 7 Banach spaces
  13. 8 The algebra of bounded operators on a Banach space
  14. 9 Compact operators
  15. 10 Compact operators on Hilbert space
  16. 11 Applications of the theory of compact operators
  17. 12 The Fourier transform
  18. 13 *The Hahn-Banach theorems
  19. Appendix A Metric and topological spaces
  20. Bibliography
  21. Index