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