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 Creators ORCiD Ramesh, G UNSPECIFIED
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://raiithold.iith.ac.in/id/eprint/6514
Publisher URL:	http://doi.org/10.7153/oam-2018-12-41
Related URLs:	Google Scholar

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