Closed EP and hypo-EP operators on Hilbert spaces
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Date
2022
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Publisher
Springer Science and Business Media B.V.
Abstract
A bounded linear operator A on a Hilbert space H is said to be an EP (hypo-EP) operator if ranges of A and A∗ are equal (range of A is contained in range of A∗) and A has a closed range. In this paper, we define EP and hypo-EP operators for densely defined closed linear operators on Hilbert spaces and extend results from bounded linear operator settings to (possibly unbounded) closed linear operator settings. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.
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Keywords
EP operator, Hypo-EP operator, Moore-Penrose inverse
Citation
Journal of Analysis, 2022, 30, 4, pp. 1377-1390