A CANONICAL DECOMPOSITION OF COMPLEX SYMMETRIC OPERATORS

被引：36

作者：

Guo, Kunyu ^{[1
]}

Zhu, Sen ^{[2
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF OPERATOR THEORY | 2014年 / 72卷 / 02期

关键词：

Complex symmetric operator; transpose; UET operator; canonical decomposition; irreducible operator; completely reducible operator; Toeplitz operator; TRUNCATED TOEPLITZ-OPERATORS; RANGE PRESERVING-MAPS; UNITARY EQUIVALENCE; NUMERICAL RADIUS; WEIGHTED SHIFTS; SPECTRAL-RADIUS; MATRICES; NORM; SIMILARITY;

D O I：

10.7900/jot.2013aug15.2007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An operator Ton a complex Hilbert space H is said to be complex symmetric if there exists a conjugate-linear, isometric involution C : H -> H so that CTC = T*. In this paper, we obtain a canonical decomposition of complex symmetric operators. This result decomposes general complex symmetric operators into direct sums of three kinds of elementary ones.

引用

页码：529 / 547

页数：19

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