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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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Completely rank nonincreasing linear maps on nest algebras
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by Jinchuan Hou and Jianlian Cui PDF
Proc. Amer. Math. Soc. 132 (2004), 1419-1428 Request permission

Abstract:

In this paper, the completely rank nonincreasing bounded linear maps on nest algebras acting on separable Hilbert spaces are characterized, and an affirmative answer to a problem posed by Hadwin and Larson is given for the case of such nest algebras.
References
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Additional Information
  • Jinchuan Hou
  • Affiliation: Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People’s Republic of China
  • Address at time of publication: Department of Mathematics, Shanxi University, Taiyuan 030000, People’s Republic of China
  • Email: jhou@dns.sxtu.edu.cn
  • Jianlian Cui
  • Affiliation: School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • Address at time of publication: Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People’s Republic of China
  • Email: cuijl@dns.sxtu.edu.cn
  • Received by editor(s): October 8, 2001
  • Received by editor(s) in revised form: January 8, 2003
  • Published electronically: November 4, 2003
  • Additional Notes: This work is supported by NNSFC and PNSFS
  • Communicated by: David R. Larson
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1419-1428
  • MSC (2000): Primary 47B48, 47L35
  • DOI: https://doi.org/10.1090/S0002-9939-03-07275-7
  • MathSciNet review: 2053348