Representation and normality of (sic)-paranormal absolutely norm attaining operators

被引：0
|
作者：
Bala, Neeru [1 ]
机构：
[1] Indian Stat Inst Bangalore, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, India
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2023年 / 89卷 / 1-2期
关键词：
(sic)-Paranormal operator; Weyl's spectrum; Essential spectrum; Invariant subspace; Compact operator; AN-operators; Isometry;
D O I：
10.1007/s44146-023-00063-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we give a representation of absolutely norm attaining (sic)-paranormal operators. More specifically, we prove that every (sic)-paranormal absolutely norm attaining operator T can be decomposed as U circle plus D, where U is a direct sum of scalar multiples of unitary operators and D is an upper triangular block operator matrix. Later, we provide a sufficient condition under which a (sic)-paranormal absolutely norm attaining operator is normal.
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页码：167 / 181
页数：15
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