<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Properties of two variables Toeplitz type operators

Institute of Mathematics, Pedagogical University, ul. Podchorążych 2, 30-084 Kraków,

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"Properties of two variables Toeplitz type operators"}

The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of...

Properties of two variables Toeplitz type operators

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
Pair of contractions, isometric dilation, doubly commuting, Toeplitz operator, symbol operator

© 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.

Properties of two variables Toeplitz type operators

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

KeywordsPair of contractions, isometric dilation, doubly commuting, Toeplitz operator, symbol operator

© 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.

Keywords
Pair of contractions, isometric dilation, doubly commuting, Toeplitz operator, symbol operator