Properties of two variables Toeplitz type operators

Elżbieta Król-Klimkowska, and Marek Ptak. "Properties of two variables Toeplitz type operators." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 15 (2016): 97-106. <http://eudml.org/doc/287105>.

@article{ElżbietaKról2016,
abstract = {The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of existence such a non-zero operator. There are also presented conditions of analyticity of such an operator.},
author = {Elżbieta Król-Klimkowska, Marek Ptak},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Pair of contractions; isometric dilation; doubly commuting; Toeplitz operator; symbol operator; pair of contractions},
language = {eng},
pages = {97-106},
title = {Properties of two variables Toeplitz type operators},
url = {http://eudml.org/doc/287105},
volume = {15},
year = {2016},
}

TY - JOUR
AU - Elżbieta Król-Klimkowska
AU - Marek Ptak
TI - Properties of two variables Toeplitz type operators
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2016
VL - 15
SP - 97
EP - 106
AB - The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of existence such a non-zero operator. There are also presented conditions of analyticity of such an operator.
LA - eng
KW - Pair of contractions; isometric dilation; doubly commuting; Toeplitz operator; symbol operator; pair of contractions
UR - http://eudml.org/doc/287105
ER -