On absolutely norm attaining operators

D, Venku Naidu and G, Ramesh (2019) On absolutely norm attaining operators. Proceedings - Mathematical Sciences, 129 (4). ISSN 0253-4142

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Abstract

We give the necessary and sufficient conditions for a bounded operator defined between complex Hilbert spaces to be absolutely norm attaining. We discuss the structure of such operators in the case of self-adjoint and normal operators separately. Finally, we discuss several properties of absolutely norm attaining operators.

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IITH Creators:
IITH CreatorsORCiD
D, Venku NaiduUNSPECIFIED
G, RameshUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: AN-operator,Compact operator,Fredholm operator,Fuglede theorem norm attaining operator, Weyl’s theorem, Indexed in Scopus
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Library Staff
Date Deposited: 09 Oct 2019 07:41
Last Modified: 09 Oct 2019 07:41
URI: http://raiith.iith.ac.in/id/eprint/6504
Publisher URL: http://doi.org/10.1007/s12044-019-0491-y
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