Trace class perturbations of isometries and unitary dilations-Reference-Cited by-同舟云学术

Trace class perturbations of isometries and unitary dilations

Published:1974 Issue:2 Volume:45 Page:229-234
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Carey Richard W.

Abstract

Let U U and V V be isometries acting on a Hilbert space. If U − V U - V belongs to the trace class we show that the absolutely continuous parts of the corresponding minimal unitary dilations are unitarily equivalent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-045-02/S0002-9939-1974-0358399-5/S0002-9939-1974-0358399-5.pdf

Reference9 articles.

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4. Die Grundlehren der mathematischen Wissenschaften, Band 132;Kato, Tosio,1966

5. Basic theory of Fredholm operators;Schechter, Martin;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3),1967

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