On Quasisimilarity for Analytic Toeplitz Operators
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 111-116
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Let f be a function in H∞. We show that if f is inner or if the commutant of the analytic Toeplitz operator Tf is equal to that of Tb for some finite Blaschke product b, then any analytic Toeplitz operator quasisimilar to Tf is unitarily equivalent to Tf .
Mots-clés :
quasisimilarity, analytic Toeplitz operator, commutant, 47B20, 47B35
Takahashi, Katsutoshi. On Quasisimilarity for Analytic Toeplitz Operators. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 111-116. doi: 10.4153/CMB-1988-017-7
@article{10_4153_CMB_1988_017_7,
author = {Takahashi, Katsutoshi},
title = {On {Quasisimilarity} for {Analytic} {Toeplitz} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {111--116},
year = {1988},
volume = {31},
number = {1},
doi = {10.4153/CMB-1988-017-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-017-7/}
}
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