Convergence of operators with closed range

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dc.contributor.authorJohnson, P.S.
dc.contributor.authorBalaji, S.
dc.date.accessioned2026-02-05T09:30:32Z
dc.date.issued2019
dc.description.abstractIzumino has discussed a sequence of closed range operators (T<inf>n</inf>) that converges to a closed range operator T on a Hilbert space to establish the convergence of T<inf>n</inf>† ? T† for Moore-Penrose inverses. In general, if Tn ? T uniformly and each Tn has a closed range, then T need not have a closed range. Some sufficient conditions have been discussed on T<inf>n</inf> and T such that T has a closed range whenever each T<inf>n</inf> has a closed range. © 2019 Khayyam Journal of Mathematics.
dc.identifier.citationKhayyam Journal of Mathematics, 2019, 5, 2, pp. 132-138
dc.identifier.urihttps://doi.org/10.22034/kjm.2019.88428
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24781
dc.publisherTusi Mathematical Research Group (TMRG) moslehian@memeber.ams.org
dc.subjectClosed range operators
dc.subjectFrechet spaces
dc.subjectMoore-Penrose inverses
dc.titleConvergence of operators with closed range

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