On the denseness of minimum attaining operators

Kulkarni, S H and G, Ramesh (2016) On the denseness of minimum attaining operators. arXiv. pp. 1-7. (Submitted)

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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
Item Type: Article
Subjects: ?? Functionalanalysis ??
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 27 Sep 2016 05:42
Last Modified: 27 Sep 2016 06:53
URI: http://raiith.iith.ac.in/id/eprint/2778
Publisher URL: http://arxiv.org/pdf/1609.06869.pdf
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