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On Quasisimilarity for Subnormal Operators, II

Published online by Cambridge University Press:  20 November 2018

John B. Conway
John B. Conway*
Affiliation:
Indiana University, Bloomington Indiana47405
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Abstract

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Let S be a subnormal operator and let be the weak-star closed algebra generated by S and 1. An example of an irreducible cyclic subnormal operator S is found such that there is a T in with S and T quasisimilar but not unitarily equivalent. However, if S is the unilateral shift, T ∈ and S and T are quasisimilar, then S ≅ T.

Keywords

47B2047B35subnormal operatorToeplitz operatorquasisimilarity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 1 , 01 March 1982 , pp. 37 - 40
Copyright
Copyright © Canadian Mathematical Society 1982

References

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