On m-Complex Symmetric Operators II

被引：0

作者：

Cho, Muneo ^{[1
]}

Ko, Eungil ^{[2
]}

Lee, Ji Eun ^{[3
]}

机构：

[1] Kanagawa Univ, Dept Math, Hiratsuka, Kanagawa 2591293, Japan

[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

[3] Sejong Univ, Dept Math Appl Stat, Seoul 143747, South Korea

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

m-complex symmetric operator; Berberian's method; Hermitian; p-hyponormal;

D O I：

10.1007/s00009-016-0683-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the structure of defined by the following:Delta(1)(T) In particular, we prove that if is even, then is complex symmetric with the conjugation , and if is odd, then is skew complex symmetric with the conjugation . Moreover, we investigate the conditions for ()-complex symmetric operators to be Delta(1)(T)-complex symmetric operators and characterize the spectrum of Delta(1)(T) Finally, we show that if is Hermitian or is -hyponormal, then implies Delta(1)(T) = 0

引用

页码：3255 / 3264

页数：10

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