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
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