Properties of two variables Toeplitz type operators

被引：0
|
作者：
Krol-Klimkowska, Elzbieta [1 ]
Ptak, Marek [1 ,2 ]
机构：
[1] Pedag Univ, Inst Math, Ul Podchorazych 2, PL-30084 Krakow, Poland
[2] Univ Agr, Dept Appl Math, Ul Balicka 253c, PL-30198 Krakow, Poland
来源：
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA | 2016年 / 15卷
关键词：
Pair of contractions; isometric dilation; doubly commuting; Toeplitz operator; symbol operator;
D O I：
10.1515/aupcsm-2016-0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：97 / 106
页数：10
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