A dense set of operators quasisimilar to normal $+$ compact
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- by Domingo A. Herrero PDF
- Proc. Amer. Math. Soc. 100 (1987), 641-646 Request permission
Abstract:
The algebra of all bounded linear operators acting on a complex separable infinite dimensional Hilbert space is the disjoint union of two dense subsets: Every operator in one of them is quasisimilar to an operator of the form "normal $+$ compact," and every operator in the complement is not quasisimilar to an operator of that form.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 641-646
- MSC: Primary 47A65; Secondary 47D99
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894430-5
- MathSciNet review: 894430