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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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Commutants of certain analytic operator algebras
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by Guoxing Ji, Tomoyoshi Ohwada and Kichi-Suke Saito PDF
Proc. Amer. Math. Soc. 134 (2006), 2975-2982 Request permission

Abstract:

We prove that algebraic commutants of maximal subdiagonal algebras and of analytic operator algebras determined by flows in a $\sigma$-finite von Neumann algebra are self-adjoint.
References
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Additional Information
  • Guoxing Ji
  • Affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xian, 710062, People’s Republic of China
  • Email: gxji@snnu.edu.cn
  • Tomoyoshi Ohwada
  • Affiliation: Department of General Science, Tsuruoka National College of Technology, Tsuruoka, 997-8511, Japan
  • Email: ohwada@tsuruoka-nct.ac.jp
  • Kichi-Suke Saito
  • Affiliation: Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan
  • Email: saito@math.sc.niigata-u.ac.jp
  • Received by editor(s): November 2, 2004
  • Received by editor(s) in revised form: April 29, 2005
  • Published electronically: May 4, 2006
  • Additional Notes: The first author was supported in part by the National Natural Science Foundation of China (No. 10571114) and the Excellent Young Teachers Program of MOE, P.R.C. The second author was supported in part by a Grant-in-Aid for Scientific Research from the Japanese Ministry of Education, Culture, Sports, Science and Technology. The third author was supported in part by a Grant-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
  • Communicated by: David R. Larson
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 2975-2982
  • MSC (2000): Primary 46L10, 46L55
  • DOI: https://doi.org/10.1090/S0002-9939-06-08326-2
  • MathSciNet review: 2231622