Ramesh, G and Kulkarni, S H
(2018)
On the denseness of minimum attaining operators.
Operators and Matrices (3).
pp. 699709.
ISSN 18463886
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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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