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.
@article{bwmeta1.element.doi-10_1515_aupcsm-2016-0008,
author = {El\.zbieta Kr\'ol-Klimkowska and Marek Ptak},
title = {Properties of two variables Toeplitz type operators},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
volume = {15},
year = {2016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0008}
}
Elżbieta Król-Klimkowska; Marek Ptak. Properties of two variables Toeplitz type operators. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 15 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2016-0008/