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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Weakly compact groups of operators
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by T. A. Gillespie and T. T. West
Proc. Amer. Math. Soc. 49 (1975), 78-82
DOI: https://doi.org/10.1090/S0002-9939-1975-0361924-2

Abstract:

It is shown that the weakly closed algebra generated by a weakly compact group of operators on a Banach space is reflexive and equals its second commutant. Also, an example is given to show that the generator of a monothetic weakly compact group of operators need not have a logarithm in the algebra of all bounded linear operators on the underlying space.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 78-82
  • MSC: Primary 47D10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0361924-2
  • MathSciNet review: 0361924