On the Hyponormal Property of Operators

被引:1
作者
Sales, S. M. S. Nabavi [1 ]
机构
[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, POB 397, Sabzevar, Iran
来源
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2020年 / 15卷 / 02期
关键词
Hyponormal operators; Hyponormal property; Aluthge transform; Normal operator; ALUTHGE TRANSFORMS;
D O I
10.29252/ijmsi.15.2.21
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let T be a bounded linear operator on a Hilbert space H. We say that T has the hyponormal property if there exists a function f, continuous on an appropriate set so that f(vertical bar T vertical bar) >= f(vertical bar T*vertical bar). We investigate the properties of such operators considering certain classes of functions on which our definition is constructed. For such a function f we introduce the f-Aluthge transform, (T) over tilde (f). Given two continuous functions f and g with the property f(t)g(t) = t, we also introduce the (f, g)-Aluthge transform, (T) over tilde ((f,g)). The features of these transforms are discussed as well.
引用
收藏
页码:21 / 30
页数:10
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