Geodesic
On Quasisimilarity for Subnormal Operators, II
Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 37-40

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DOI

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.
DOI : 10.4153/CMB-1982-004-2
Mots-clés : 47B20, 47B35, subnormal operator, Toeplitz operator, quasisimilarity 
Conway, John B. On Quasisimilarity for Subnormal Operators, II. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 37-40. doi: 10.4153/CMB-1982-004-2
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