EP modular operators and their products |
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| Authors: | Kamran Sharifi |
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| Affiliation: | Department of Mathematics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran2 |
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| Abstract: | We study first EP modular operators on Hilbert C?-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha (2000) [13] for an arbitrary C?-algebra and the C?-algebras of compact operators. |
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| Keywords: | EP operator Moore&ndash Penrose inverse C?-algebra C?-algebra of compact operators Hilbert C?-module Closed range |
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