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Author: search.filters.author.Balaji, S.Subject: search.filters.subject.Closed range operators

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    Convergence of operators with closed range
    (Tusi Mathematical Research Group (TMRG) moslehian@memeber.ams.org, 2019) Johnson, P.S.; Balaji, S.
    Izumino has discussed a sequence of closed range operators (Tn) that converges to a closed range operator T on a Hilbert space to establish the convergence of Tn† ? 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 Tn and T such that T has a closed range whenever each Tn has a closed range. © 2019 Khayyam Journal of Mathematics.