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Proceedings of the American Mathematical Society

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Continuity of linear fractional transformations on an operator algebra


Author: J. William Helton
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
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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 [Enhancements On Off] (What's this?)

  • [1] M. G. Kreĭn, A new application of the fixed point principle in the theory of operators on a space with indefinite metric, Dokl. Akad. Nauk. SSSR 154 (1965), 1023-1026 = Soviet Math. Dokl. 5 (1964), 224-228. MR 29 #6314. MR 0169059 (29:6314)

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DOI: https://doi.org/10.1090/S0002-9939-1973-0324437-8
Article copyright: © Copyright 1973 American Mathematical Society

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