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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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Affine mappings of invertible operators
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by Lawrence A. Harris and Richard V. Kadison
Proc. Amer. Math. Soc. 124 (1996), 2415-2422
DOI: https://doi.org/10.1090/S0002-9939-96-03445-4

Abstract:

The infinite-dimensional analogues of the classical general linear group appear as groups of invertible elements of Banach algebras. Mappings of these groups onto themselves that extend to affine mappings of the ambient Banach algebra are shown to be linear exactly when the Banach algebra is semi-simple. The form of such linear mappings is studied when the Banach algebra is a C*-algebra.
References
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Bibliographic Information
  • Lawrence A. Harris
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
  • MR Author ID: 235975
  • Richard V. Kadison
  • Affiliation: Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395
  • Received by editor(s): February 13, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2415-2422
  • MSC (1991): Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-96-03445-4
  • MathSciNet review: 1340389