Most similarity orbits are strongly dense
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- by D. W. Hadwin, E. A. Nordgren, Heydar Radjavi and Peter Rosenthal PDF
- Proc. Amer. Math. Soc. 76 (1979), 250-252 Request permission
Abstract:
It is shown that the strong and weak closures of the similarity orbit of an operator on a Banach space always coincide, and a simple characterization of these closures is given. Whenever an operator is not the sum of a scalar and a finite rank operator, its similarity orbit is strongly dense in the set of all bounded linear operators.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 250-252
- MSC: Primary 47A65; Secondary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-1979-0537082-1
- MathSciNet review: 537082