Please use this identifier to cite or link to this item: https://idr.nitk.ac.in/jspui/handle/123456789/10389
Title: Convergence of operators with closed range
Authors: Johnson, P.S.
Balaji, S.
Issue Date: 2019
Citation: Khayyam Journal of Mathematics, 2019, Vol.5, 2, pp.132-138
Abstract: 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.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10389
Appears in Collections:1. Journal Articles

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