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ArticleOriginal scientific text

Title

Properties of two variables Toeplitz type operators

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Pedagogical University, ul. Podchorążych 2, 30-084 Kraków,
  2. Department of Applied Mathematics, University of Agriculture, ul. Balicka 253c, 30-198 Kraków, ; and Institute of Mathematics, Pedagogical University, ul. Podchorążych 2, 30-084 Kraków,

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.

Keywords

ENG
Pair of contractions, isometric dilation, doubly commuting, Toeplitz operator, symbol operator
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2016/15
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Main language of publication
English
Received
2016-05-23
Accepted
2016-10-14
Published
2016-12-01
Published online
2016-12-23

DOI: 10.1515/aupcsm-2016-0008

Exact and natural sciences