Generalized scalar operators as dilations
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- by Hari Bercovici and Srdjan Petrović PDF
- Proc. Amer. Math. Soc. 123 (1995), 2173-2180 Request permission
Abstract:
It is shown that polynomially bounded operators on Banach spaces have polynomially bounded dilations which have spectrum in the unit circle and are generalized scalar. The proof also yields a description of all compressions of generalized scalar operators with spectrum in the unit circle.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2173-2180
- MSC: Primary 47A20; Secondary 47A45, 47B40
- DOI: https://doi.org/10.1090/S0002-9939-1995-1246516-8
- MathSciNet review: 1246516