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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Trace class perturbations of isometries and unitary dilations


Author: Richard W. Carey
Journal: Proc. Amer. Math. Soc. 45 (1974), 229-234
MSC: Primary 47A40
DOI: https://doi.org/10.1090/S0002-9939-1974-0358399-5
MathSciNet review: 0358399
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Abstract: Let $ U$ and $ V$ be isometries acting on a Hilbert space. If $ U - V$ belongs to the trace class we show that the absolutely continuous parts of the corresponding minimal unitary dilations are unitarily equivalent.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0358399-5
Keywords: Isometry, unitary dilation, trace class
Article copyright: © Copyright 1974 American Mathematical Society