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Products of EP operators on Hilbert spaces
Dragan Djordjević
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Source: Crossref
Published: Oct 31, 2000
DOI: 10.1090/s0002-9939-00-05701-4
Open original source ↗Source abstract
A Hilbert space operator A A is called the EP operator if the range of A A is equal to the range of its adjoint A ∗ A^{*} . 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.
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