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https://idr.l3.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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CONVERGENCE OF OPERATORS WITH CLOSED RANGE.pdf | 369.13 kB | Adobe PDF |  View/Open |
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