On self-commutators of Toeplitz operators with rational symbols

Sherwin Kouchekian, and James E. Thomson. "On self-commutators of Toeplitz operators with rational symbols." Studia Mathematica 179.1 (2007): 41-47. <http://eudml.org/doc/284815>.

@article{SherwinKouchekian2007,
abstract = {We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.},
author = {Sherwin Kouchekian, James E. Thomson},
journal = {Studia Mathematica},
keywords = {Bergman space; Hardy space; unbounded Bergman operators; density problem; self-commutator},
language = {eng},
number = {1},
pages = {41-47},
title = {On self-commutators of Toeplitz operators with rational symbols},
url = {http://eudml.org/doc/284815},
volume = {179},
year = {2007},
}

TY - JOUR
AU - Sherwin Kouchekian
AU - James E. Thomson
TI - On self-commutators of Toeplitz operators with rational symbols
JO - Studia Mathematica
PY - 2007
VL - 179
IS - 1
SP - 41
EP - 47
AB - We prove that the self-commutator of a Toeplitz operator with unbounded analytic rational symbol has a dense domain in both the Bergman space and the Hardy space of the unit disc. This is a basic step towards establishing whether the self-commutator has a compact or trace-class extension.
LA - eng
KW - Bergman space; Hardy space; unbounded Bergman operators; density problem; self-commutator
UR - http://eudml.org/doc/284815
ER -