n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L-2(mu)

被引：0
|
作者：
Gupta, Anuradha [1 ]
Bhatia, Neha [2 ]
机构：
[1] Univ Delhi, Delhi Coll Arts & Commerce, Dept Math, Delhi 110023, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
来源：
MATEMATICKI VESNIK | 2014年 / 66卷 / 04期
关键词：
normal operator; quasinormal operator; n-normal operator; n-quasinormal operator; composition operator; weighted composition operator; conditional expectation operator; hyponormal operator; compact operator;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An operator T is called n-normal operator if (TT)-T-n* = T* T-n and n-quasinormal operator if (TT)-T-n*T = T*TTn. In this paper, the conditions under which composition operators and weighted composition operators become n-normal operators and n-quasinormal operators have been obtained in terms of Radon-Nikodym derivative h(n).
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页码：364 / 370
页数：7
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