Introduction to the Analysis of Normed Linear Spaces
eBook - PDF

Introduction to the Analysis of Normed Linear Spaces

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

Introduction to the Analysis of Normed Linear Spaces

About this book

This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.

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Yes, you can access Introduction to the Analysis of Normed Linear Spaces by J. R. Giles in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series-title
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. Normed Linear Space Structure and Examples
  10. Spaces of Continuous Linear Mappings
  11. The Existence of Continuous Linear Funcitonals
  12. The Fundamental Mapping Theorems for Banach Spaces
  13. Types of Continuous Linear Mappings
  14. Spectral Theory
  15. Appendix
  16. Historical notes
  17. List of symbols
  18. List of spaces
  19. Index