Banach–Hilbert Spaces, Vector Measures and Group Representations
eBook - PDF

Banach–Hilbert Spaces, Vector Measures and Group Representations

  1. 622 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Banach–Hilbert Spaces, Vector Measures and Group Representations

About this book

This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinitedimensional analogue of measure theory on finitedimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.

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Information

Publisher
WSPC
Year
2002
eBook ISBN
9789813105980
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents

  1. Contents
  2. Preface
  3. Introduction
  4. Chapter 1 Metric Spaces
  5. Chapter 2 Complete Compact and Connected Sets
  6. Chapter 3 Banach Spaces
  7. Chapter 4 Simplicial Complexes
  8. Chapter 5 Topological Fixed Points
  9. Chapter 6 Foundation of Functional Analysis
  10. Chapter 7 Natural Constructions
  11. Chapter 8 Complex Analysis
  12. Chapter 9 Differentiation in Banach Spaces
  13. Chapter 10 Polynomials and Higher Derivatives
  14. Chapter 11 Ordinary Differential Equations
  15. Chapter 12 Compact Linear Operators
  16. Chapter 13 Operators on Hilbert Spaces
  17. Chapter 14 Spectral Properties of Hilbert Spaces
  18. Chapter 15 Tensor Products
  19. Chapter 16 Complex Vector Lattices
  20. Chapter 17 Vector Measures on Semirings
  21. Chapter 18 Extensions of Positive Measures
  22. Chapter 19 Measurable Objects
  23. Chapter 20 Integrals of Upper Functions
  24. Chapter 21 Vector Integrals
  25. Chapter 22 Finite Products of Measures
  26. Chapter 23 Measures on Finite Dimensional Spaces
  27. Chapter 24 Indefinite Integrals
  28. Chapter 25 Differentiation of Measures
  29. Chapter 26 Spectral Measures
  30. Chapter 27 Locally Compact Spaces
  31. Chapter 28 Almost Periodic Functions on Groups
  32. Chapter 29 Group Representations
  33. Chapter 30 Saturated Closed Invariant Ideals
  34. Chapter 31 Mean Spaces
  35. References
  36. Index

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Yes, you can access Banach–Hilbert Spaces, Vector Measures and Group Representations by Tsoy???Wo Ma 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.