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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Characterizations of bounded compact approximation property by Calkin representations
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by Dongyang Chen
Proc. Amer. Math. Soc. 150 (2022), 5397-5402
DOI: https://doi.org/10.1090/proc/16056
Published electronically: July 15, 2022

Uncorrected version: Original version posted July 15, 2022
Corrected version: This version replaces the original article due to author error.

Abstract:

In this note we characterize the bounded compact approximation property via Calkin representations for Banach spaces.
References
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Bibliographic Information
  • Dongyang Chen
  • Affiliation: School of Mathematical Sciences, Xiamen University, Xiamen 361005, People’s Republic of China
  • Email: cdy@xmu.edu.cn
  • Received by editor(s): November 10, 2021
  • Received by editor(s) in revised form: February 22, 2022
  • Published electronically: July 15, 2022
  • Additional Notes: This work was supported by the National Natural Science Foundation of China (Grant No. 11971403) and the Natural Science Foundation of Fujian Province of China (Grant No. 2019J01024)
  • Communicated by: Stephen Dilworth
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 5397-5402
  • MSC (2020): Primary 46B08, 47A35, 47B07
  • DOI: https://doi.org/10.1090/proc/16056
  • MathSciNet review: 4494612