Linear Functional Analysis
eBook - PDF

Linear Functional Analysis

  1. 264 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Linear Functional Analysis

About this book

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Orlicz spaces is included.

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Yes, you can access Linear Functional Analysis by Peng Yee Lee, Cong Xin Wu in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. PREFACE
  3. CHINESE TRANSLATOR'S PREFACE
  4. PREFACE TO THE CHINESE EDITION
  5. Acknowledgement
  6. 1 SOME PRELIMINARIES IN FUNCTIONAL ANALYSIS
  7. 2 EXAMPLES OF B-SPACES AND F-SPACES
  8. 3 A UNIFIED APPROACH OF VARIOUS USEFUL B-SPACES AND F-SPACES
  9. 4 NORMED SPACES INDUCED BY GIVEN SPACES
  10. 5 EQUIVALENT NORMS, ISOMORPHISM AND ISOMETRY OF SPACES
  11. 6 TOPOLOGICAL LINEAR SPACES AND VARIOUS CONCEPTS OF CONVERGENCE
  12. 7 SEVERAL REMARKS ON DIFFERENT STRUCTURES OF SPACES OF DIFFERENT KINDS
  13. 8 UNCONDITIONAL AND ABSOLUTE CONVERGENCE OF SERIES OF ELEMENTS
  14. 9 LINEAR FUNCTIONALS ON B-SPACES AND B0-SPACES
  15. 10 SEVERAL THEOREMS ON WEAK CONVERGENCE IN B-SPACES AND B0-SPACES. SEVERAL APPLICATIONS OF THE SEPARATION THEOREMS
  16. 11 CONJUGATE SPACES OF SPACES OF VARIOUS TYPES
  17. 12 ON THE CONTINUITY OF OPERATORS. VARIOUS THEOREMS ON OPERATOR SEQUENCES
  18. 13 SOME APPLICATIONS ON SUMMABILITY THEORY AND BI-ORTHOGONAL EXPANSIONS
  19. ADDENDUM: SOME RESULTS IN ORLICZ SPACES
  20. Exercises
  21. Bibliography
  22. INDEX