About this article
Published Online: Dec 23, 2016
Page range: 97 - 106
Received: May 23, 2016
Accepted: Oct 14, 2016
DOI: https://doi.org/10.1515/aupcsm-2016-0008
Keywords
© 2016 Elżbieta Król-Klimkowska et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
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.