Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 44-51
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This note characterizes, in terms of interpolating Blaschke products, the symbols of Hankel operators essentially commuting with all quasicontinuous Toeplitz operators on the Hardy space of the unit circle. It also shows that such symbols do not contain the complex conjugate of any nonconstant singular inner function.
Mots-clés :
Hankel operator, Toeplitz operator, quasicontinuous, Douglas algebra, interpolating Blaschke product, singular inner function
Yan, Yi. Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 44-51. doi: 10.4153/S0008439521000060
@article{10_4153_S0008439521000060,
author = {Yan, Yi},
title = {Characterizations of {Hankel} operators in the essential commutant of quasicontinuous {Toeplitz} operators},
journal = {Canadian mathematical bulletin},
pages = {44--51},
year = {2022},
volume = {65},
number = {1},
doi = {10.4153/S0008439521000060},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000060/}
}
TY - JOUR AU - Yan, Yi TI - Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators JO - Canadian mathematical bulletin PY - 2022 SP - 44 EP - 51 VL - 65 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000060/ DO - 10.4153/S0008439521000060 ID - 10_4153_S0008439521000060 ER -
%0 Journal Article %A Yan, Yi %T Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators %J Canadian mathematical bulletin %D 2022 %P 44-51 %V 65 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000060/ %R 10.4153/S0008439521000060 %F 10_4153_S0008439521000060
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