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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Continuity of linear fractional transformations on an operator algebra
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by J. William Helton PDF
Proc. Amer. Math. Soc. 40 (1973), 217-218 Request permission

Abstract:

An operator coefficient linear fractional automorphism $\mathcal {F}$ on the unit ball of operators is continuous in the weak operator topology if and only if $\mathcal {F}(0)$ is compact.
References
  • M. G. Kreĭn, A new application of the fixed-point principle in the theory of operators in a space with indefinite metric, Dokl. Akad. Nauk SSSR 154 (1964), 1023–1026 (Russian). MR 0169059
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 40 (1973), 217-218
  • MSC: Primary 46L15; Secondary 47A99
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0324437-8
  • MathSciNet review: 0324437