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History, Developments and Open Problems on Approximation Properties

Author

Listed:
  • Ju Myung Kim

    (Department of Mathematics and Statistics, Sejong University, Seoul 05006, Korea)

  • Bentuo Zheng

    (Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152-3240, USA)

Abstract

In this paper, we give a comprehensive review of the classical approximation property. Then, we present some important results on modern variants, such as the weak bounded approximation property, the strong approximation property and p -approximation property. Most recent progress on E -approximation property and open problems are discussed at the end.

Suggested Citation

  • Ju Myung Kim & Bentuo Zheng, 2020. "History, Developments and Open Problems on Approximation Properties," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1117-:d:381515
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