FUGLEDE-PUTNAM THEOREM FOR log-HYPONORMAL OR CLASS Y OPERATORS

被引：0
|
作者：
Mecheri, Salah [1 ]
Bakir, Aissa Nasli [2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, BOPox 2455, Riyah 11451, Saudi Arabia
[2] Chlef Univ, Dept Math, Chlef 02000, Algeria
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2009年 / 54卷 / 02期
关键词：
Fuglede-Putnam's theorem; log-hyponormal operator; class Y operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The equation AX = XB implies A*X = XB* when A and B are normal is known as the familiar Fuglede-Putnam's theorem. In this paper we will extend Fuglede-Putnam's theorem to a more general class of operators. We show that if A is log-hyponormal and B* is a class Y operator, then A, B satisfy Fuglede-Putnam's theorem. Other related results are also given.
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页码：75 / 82
页数：8
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