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Proceedings of the American Mathematical Society

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An asymptotic Fuglede theorem

Author: Robert Moore
Journal: Proc. Amer. Math. Soc. 50 (1975), 138-142
MSC: Primary 47B15; Secondary 46L15
MathSciNet review: 0370247
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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 [Enhancements On Off] (What's this?)

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Keywords: Normal operator, Fuglede theorem, spectral measure
Article copyright: © Copyright 1975 American Mathematical Society

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