An asymptotic Fuglede theorem
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- by Robert Moore PDF
- Proc. Amer. Math. Soc. 50 (1975), 138-142 Request permission
Abstract:
The main result is that if an operator $B$ on Hilbert space “almost” commutes with a normal operator $N$, then $B$ almost commutes with ${N^\ast }$ as well. The Theorem is then extended to a Putnam-like version which states that if $B$ almost intertwines two normal operators, then it almost intertwines continuous functions of those operators.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 138-142
- MSC: Primary 47B15; Secondary 46L15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370247-7
- MathSciNet review: 0370247