Spectral properties of absolutely minimum attaining operators

Bala, Neeru and G, Ramesh (2020) Spectral properties of absolutely minimum attaining operators. Banach Journal of Mathematical Analysis. ISSN 1735-8787 (In Press)

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Abstract

In this article, we give a new characterization of positive absolutely minimum attaining operators in terms of essential spectrum. We discuss absolutely minimum attaining property of multiplication operator on a σ-finite measure space and then establish a spectral decomposition for normal absolutely minimum attaining operators. We also give a sufficient condition under which the adjoint of an absolutely minimum attaining operator is absolutely minimum attaining and show that a paranormal absolutely minimum attaining operator with an extra condition is hyponormal. In the end, we prove a few spectral properties of paranormal operators.

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IITH Creators:
IITH CreatorsORCiD
G, RameshUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Absolutely minimum attaining operator, Essential spectrum, Generalized inverse and paranormal operator, Minimum modulus, Indexed in Scopus
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 16 Mar 2020 05:49
Last Modified: 16 Mar 2020 05:49
URI: http://raiith.iith.ac.in/id/eprint/7529
Publisher URL: http://doi.org/10.1007/s43037-019-00032-2
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