Canonical Decomposition of Operators Associated with the Symmetrized Polydisc

被引：11
|
作者：
Pal, Sourav [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2018年 / 12卷 / 04期
关键词：
Spectral set; Symmetrized polydisc; Gamma(n)-Contraction; Canonical decomposition; GAMMA-CONTRACTIONS; MODELS; BIDISC;
D O I：
10.1007/s11785-017-0721-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A tuple of commuting operators for which the closed symmetrized polydisc is a spectral set is called a -contraction. We show that every -contraction admits a decomposition into a -unitary and a completely non-unitary -contraction. This decomposition is an analogue to the canonical decomposition of a contraction into a unitary and a completely non-unitary contraction. We also find new characterizations for the set and Gamma(n)-contractions.
引用
收藏
页码：931 / 943
页数：13
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