Finite rank commutators of Toeplitz operators on the bidisk
Studia Mathematica (2012)
- Volume: 209, Issue: 2, page 189-201
- ISSN: 0039-3223
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topYoung Joo Lee. "Finite rank commutators of Toeplitz operators on the bidisk." Studia Mathematica 209.2 (2012): 189-201. <http://eudml.org/doc/285560>.
@article{YoungJooLee2012,
abstract = {We study some algebraic properties of commutators of Toeplitz operators on the Hardy space of the bidisk. First, for two symbols where one is arbitrary and the other is (co-)analytic with respect to one fixed variable, we show that there is no nontrivial finite rank commutator. Also, for two symbols with separated variables, we prove that there is no nontrivial finite rank commutator or compact commutator in certain cases.},
author = {Young Joo Lee},
journal = {Studia Mathematica},
keywords = {Toeplitz operators; Hardy space; bidisk; finite rank},
language = {eng},
number = {2},
pages = {189-201},
title = {Finite rank commutators of Toeplitz operators on the bidisk},
url = {http://eudml.org/doc/285560},
volume = {209},
year = {2012},
}
TY - JOUR
AU - Young Joo Lee
TI - Finite rank commutators of Toeplitz operators on the bidisk
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 2
SP - 189
EP - 201
AB - We study some algebraic properties of commutators of Toeplitz operators on the Hardy space of the bidisk. First, for two symbols where one is arbitrary and the other is (co-)analytic with respect to one fixed variable, we show that there is no nontrivial finite rank commutator. Also, for two symbols with separated variables, we prove that there is no nontrivial finite rank commutator or compact commutator in certain cases.
LA - eng
KW - Toeplitz operators; Hardy space; bidisk; finite rank
UR - http://eudml.org/doc/285560
ER -
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