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Convergence of operators with closed range
P.S. Johnson,
Published in Tusi Mathematical Research Group (TMRG)
Volume: 5
Issue: 2
Pages: 132 - 138
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.
About the journal
JournalKhayyam Journal of Mathematics
PublisherTusi Mathematical Research Group (TMRG)