Closed \(EP\) and hypo-\(EP\) operators on Hilbert spaces

DOI10.1007/s41478-022-00401-5OpenAlexW3197167404MaRDI QIDQ2093842

P. Sam Johnson

Publication date: 27 October 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01315

zbMATH Keywords

Moore-Penrose inverse\(EP\) operatorhypo-\(EP\) operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Structure theory of linear operators (47A65)

Cites Work

• Some new perturbation results for generalized inverses of closed linear operators in Banach spaces
• On products of EP matrices
• On the perturbation of the least squares solutions in Hilbert spaces
• Hypo-EP operators
• Product and factorization of hypo-EP operators
• Operator extensions with closed range
• On some EP operators
• Characterizing Hermitian, normal and EP operators
• A note on commutativity of a linear operatorand its moore-penrose inverse
• EP Operators and Generalized Inverses
• Inclusions and Identities for the Moore-Penrose Inverse of a Closed Linear Operator
• On EPr and normal Epr matrices
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• The square root of a positive self-adjoint operator
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