On the denseness of minimum attaining operators.

Ramesh, G and Kulkarni, S H (2018) On the denseness of minimum attaining operators. Operators and Matrices (3). pp. 699-709. ISSN 1846-3886

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Abstract

Let H1,H2 be complex Hilbert spaces and T be a densely defined closed linear operator (not necessarily bounded). It is proved that for each ϵ>0, there exists a bounded operator S with ∥S∥≤ϵ such that T+S is minimum attaining. Further, if T is bounded below, then S can be chosen to be rank one.

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IITH Creators:
IITH CreatorsORCiD
Ramesh, GUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Indexed in Scopus and WoS
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Library Staff
Date Deposited: 10 Oct 2019 10:13
Last Modified: 10 Oct 2019 10:13
URI: http://raiith.iith.ac.in/id/eprint/6514
Publisher URL: http://doi.org/10.7153/oam-2018-12-41
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