CONVERSE OF FUGLEDE THEOREM

被引：1
|
作者：
Stankovic, Hranislav [1 ]
机构：
[1] Univ Nis, Fac Elect Engn, Aleksandra Medvedeva 14, Nish 18115, Serbia
来源：
OPERATORS AND MATRICES | 2023年 / 17卷 / 03期
关键词：
Subnormal operators; quasinormal operators; subnormal pairs; Fuglede Theorem; HYPONORMALITY;
D O I：
10.7153/oam-2023-17-46
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate when subnormal operators T1 and T2 are quasinormal provided their product is quasinormal. Also, we obtain as a corollary that subnormal n-th roots of a quasinormal operator are quasinormal, and thus we answer the question asked by Curto et al. in [4]. Also, we give sufficient conditions for quasinormal (subnormal) operators T1 and T2 to be normal if their product is normal. In other words, we find sufficient conditions for the converse of the Fuglede Theorem and also make a connection with the theory of subnormal pairs.
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页码：705 / 714
页数：10
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