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)

Preview

Text (arXiv copy) 1609.06869.pdf - Submitted Version Download (143kB) | Preview

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.

[error in script]

IITH Creators:	IITH Creators ORCiD G, Ramesh UNSPECIFIED
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://raiithold.iith.ac.in/id/eprint/2778
Publisher URL:	http://arxiv.org/pdf/1609.06869.pdf
Related URLs:	Google Scholar

Actions (login required)

View Item

Statistics for this ePrint Item