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Products of EP operators on Hilbert spaces |
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| Authors: | Dragan S. Djordjevic |
| Affiliation: | Department of Mathematics, Faculty of Philosophy, University of Nis, Cirila i Metodija 2, 18000 Nis, Yugoslavia |
| Abstract: | A Hilbert space operator  is called the EP operator if the range of  is equal to the range of its adjoint  . In this article necessary and sufficient conditions are given for a product of two EP operators with closed ranges to be an EP operator with a closed range. Thus, a generalization of the well-known result of Hartwig and Katz (Linear Algebra Appl. 252 (1997), 339-345) is given. |
| Keywords: | EP operators generalized inverses |
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