A local lifting theorem for subnormal operators-Reference-Cited by-同舟云学术

A local lifting theorem for subnormal operators

Published:2005-12-02 Issue:6 Volume:134 Page:1687-1699
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Majdak Witold,Sebestyén Zoltán,Stochel Jan,Thomson James

Abstract

Criteria for the existence of lifts of operators intertwining subnormal operators are established. The main result of the paper reduces lifting questions for general subnormal operators to questions about lifts of cyclic subnormal operators. It is shown that in general the existence of local lifts (i.e. those coming from cyclic parts) for a pair of subnormal operators does not imply the existence of a global lift. However this is the case when minimal normal extensions of subnormal operators in question are star-cyclic.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-06/S0002-9939-05-08158-X/S0002-9939-05-08158-X.pdf

Reference23 articles.

1. Some examples on lifting the commutant of a subnormal operator;Abrahamse, M. B.;Ann. Polon. Math.,1980

2. Graduate Texts in Mathematics;Berg, Christian,1984

3. Subnormal operators;Bram, Joseph;Duke Math. J.,1955

4. Graduate Texts in Mathematics;Conway, John B.,1990

5. Mathematical Surveys and Monographs;Conway, John B.,1991

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