Compact operators in the algebra generated by essentially unitary $C_{0}$ operators
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- by Eric A. Nordgren PDF
- Proc. Amer. Math. Soc. 51 (1975), 159-162 Request permission
Abstract:
It will be shown that the compact operators in the weakly closed algebra generated by an essentially unitary ${C_0}$ contraction are weakly dense in the algebra. The result implies the extension of a double dual theorem of Kriete, Moore and Page and yields a partial answer to a question on reductive algebras raised by Rosenthal.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 159-162
- MSC: Primary 47A15; Secondary 46L15, 47C05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370222-2
- MathSciNet review: 0370222