Geodesic
Properties of two variables Toeplitz type operators
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016).

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: Pair of contractions, isometric dilation, doubly commuting, Toeplitz operator, symbol operator 
@article{AUPCM_2016_15_a7,
     author = {Kr\'ol-Klimkowska, El\.zbieta and Ptak, Marek},
     title = {Properties of two variables {Toeplitz} type operators},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     publisher = {mathdoc},
     number = {15},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a7/}
}
TY  - JOUR
AU  - Król-Klimkowska, Elżbieta
AU  - Ptak, Marek
TI  - Properties of two variables Toeplitz type operators
JO  - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY  - 2016
IS  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a7/
LA  - en
ID  - AUPCM_2016_15_a7
ER  - 
%0 Journal Article
%A Król-Klimkowska, Elżbieta
%A Ptak, Marek
%T Properties of two variables Toeplitz type operators
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2016
%N 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a7/
%G en
%F AUPCM_2016_15_a7
Król-Klimkowska, Elżbieta; Ptak, Marek. Properties of two variables Toeplitz type operators. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 15 (2016). http://geodesic.mathdoc.fr/item/AUPCM_2016_15_a7/