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On Quasisimilarity for Subnormal Operators, II
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1982
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