Geodesic
On Quasisimilarity for Toeplitz Operators
Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 107-112

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DOI

In this article we give a sufficient condition for quasisimilar analytic Toeplitz operators to be unitarily equivalent. We also use a result of Deddens and Wong to give a sufficient condition for an operator intertwining two analytic Toeplitz operators to intertwine their inner parts too. Analytic Toeplitz operators with univalent symbols satisfying a suitable normalization that are quasisimilar are shown to have equal symbols.
DOI : 10.4153/CMB-1985-012-4
Mots-clés : 47B20, 47B35, Toeplitz operator, quasisimilarity, inner-outer factorization 
Seddighi, K. On Quasisimilarity for Toeplitz Operators. Canadian mathematical bulletin, Tome 28 (1985) no. 1, pp. 107-112. doi: 10.4153/CMB-1985-012-4
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     title = {On {Quasisimilarity} for {Toeplitz} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {107--112},
     year = {1985},
     volume = {28},
     number = {1},
     doi = {10.4153/CMB-1985-012-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-012-4/}
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