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Functional Analysis in China

  • Book
  • © 1996

Overview

Editors:
  1. Bingren Li

    1. Institute of Mathematics, Academia Sinica, Beijing, China

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  2. Shengwang Wang

    1. Department of Mathematics, Nanjing University, Nanjing, China

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  3. Shaozong Yan

    1. Department of Mathematics, Fudan University, Shanghai, China

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  4. Chung-Chun Yang

    1. Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong

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Part of the book series: Mathematics and Its Applications (MAIA, volume 356)

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-xv
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  2. Survey Papers

    1. Some Problems and Results in the Study of Nonlinear Analysis

      • Shihsen Chang
      Pages 1-18

    2. Topics on the Approximation Problem of Almost Isometric Operators by Isometric Operators

      • Guanggui Ding
      Pages 19-28

    3. Several Results on Nonsmooth Analysis

      • Xianling Fan
      Pages 29-34

    4. New Progress on Operator Semigroups and Linear Systems in Abstract Spaces

      • Dexing Feng
      Pages 35-52

    5. Some Results on Nonlinear Functional Analysis

      • Dajun Guo
      Pages 53-70

    6. Theory of Ba Spaces and Applications

      • Yuzan He, Peizhu Luo
      Pages 71-80

    7. On Completely Irreducible Operators

      • Chunlan Jiang, Shanli Sun
      Pages 81-89

    8. Multiplication of Distributions via Harmonic Representations

      • Banghe Li, Yaqing Li
      Pages 90-106

    9. C*-Crossed Products C(X ) ×α ℤ and C(X) ×α ℤn with αn = id

      • Bingren Li, Qing Lin
      Pages 107-116

    10. Advance of Operator Theory in Fudan University

      • Shaokuan Li, Xiaoman Chen
      Pages 117-131

    11. Some Aspects of Nonlinear Operators and Critical Point Theory

      • Shujie Li
      Pages 132-144

    12. Survey of Recent Progress in Non-Commutative Tori

      • Qing Lin
      Pages 145-152

    13. Some Results on the Structure of Toeplitz Operators

      • Shunhua Sun
      Pages 153-162

    14. Properties of Some Nonlinear Operators

      • Shengwang Wang
      Pages 163-170

    15. Embedding Properties of Locally Convex Riesz Spaces

      • Yau-chuen Wong
      Pages 171-186

    16. Advances of Research on Orlicz Spaces in Harbin

      • Congxin Wu, Tingfu Wang, Shutao Chen
      Pages 187-204

    17. Research on Some Topics of Banach Spaces and Topological Vector Spaces in Harbin

      • Congxin Wu
      Pages 205-218

    18. Some Results on Operator Algebra

      • Liangsen Wu
      Pages 219-228

    19. Operator Theory in Indefinite Inner Product Space

      • Shaozong Yan, Yusheng Tong
      Pages 229-238
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Keywords

About this book

Functional Analysis has become one of the main branches in Chinese mathematics. Many outstanding contributions and results have been achieved over the past sixty years.
This authoritative collection is complementary to Western studies in this field, and seeks to summarise and introduce the historical progress of the development of Functional Analysis in China from the 1940s to the present. A broad range of topics is covered, such as nonlinear functional analysis, linear operator theory, theory of operator algebras, applications including the solvability of some partial differential equations, and special spaces that contain Banach spaces and topological vector spaces. Some of these papers have made a significant impact on the mathematical community worldwide.
Audience: This volume will be of interest to mathematicians, physicists and engineers at postgraduate level.

Editors and Affiliations

  • Institute of Mathematics, Academia Sinica, Beijing, China

    Bingren Li

  • Department of Mathematics, Nanjing University, Nanjing, China

    Shengwang Wang

  • Department of Mathematics, Fudan University, Shanghai, China

    Shaozong Yan

  • Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon, Hong Kong

    Chung-Chun Yang

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