À propos de cet article
Publié en ligne: 23 déc. 2016
Pages: 97 - 106
Reçu: 23 mai 2016
Accepté: 14 oct. 2016
DOI: https://doi.org/10.1515/aupcsm-2016-0008
Mots clés
© 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.