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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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On fixed points of linear contractions
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by Heydar Radjavi and Peter Rosenthal PDF
Proc. Amer. Math. Soc. 93 (1985), 640-642 Request permission

Abstract:

It is shown that a weakly closed convex semigroup of linear contractions on a separable Hilbert space has a common fixed point other than 0 if the operator 0 is not in the semigroup.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 93 (1985), 640-642
  • MSC: Primary 47D05; Secondary 47D20
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0776194-7
  • MathSciNet review: 776194