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A general version of Neubauer’s lemma and closed range almost closed operators

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In this paper, almost closed subspaces and almost closed linear operators are described in a Hilbert space. We show Neubauer’s lemma and we give necessary and sufficient conditions for an… Click to show full abstract

In this paper, almost closed subspaces and almost closed linear operators are described in a Hilbert space. We show Neubauer’s lemma and we give necessary and sufficient conditions for an almost closed operator to be with closed range and we exhibit sufficient conditions under which it is either closed or closable.

Keywords: general version; closed range; neubauer lemma; almost closed

Journal Title: Asian-European Journal of Mathematics
Year Published: 2019

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