Absolutely minimum attaining closed operators

Kulkarni, S H and G, Ramesh (2019) Absolutely minimum attaining closed operators. The Journal of Analysis. ISSN 0971-3611

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We define and discuss properties of the class of unbounded operators which attain minimum modulus. We establish a relationship between this class and the class of norm attaining bounded operators and compare the properties of both. Also we define absolutely minimum attaining operators (for not necessarily bounded) and characterize injective absolutely minimum attaining operators as those with compact generalized inverse. We give several consequences, one of those is that every such operator has a non trivial hyperinvariant subspace.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 24 Feb 2020 09:40
Last Modified: 24 Feb 2020 09:40
URI: http://raiith.iith.ac.in/id/eprint/7458
Publisher URL: https://doi.org/10.1007/s41478-019-00189-x
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