Core invertibility of operators from the algebra generated by two orthogonal projections

DOI10.1007/s44146-023-00059-wOpenAlexW4322754628MaRDI QIDQ6111866

Albrecht Böttcher, Ilya M. Spitkovskij

Publication date: 4 August 2023

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44146-023-00059-w

zbMATH Keywords

group inversecore inversetwo projections\(EP\) operator

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operator algebras with symbol structure (47L15) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Core inverse and core partial order of Hilbert space operators
• A gentle guide to the basics of two projections theory
• Once more on algebras generated by two projections
• Drazin inversion in the von Neumann algebra generated by two orthogonal projections
• Core inverse of matrices
• On Matrices with Elliptical Numerical Ranges
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Two Subspaces
• A Matrix Representation of a Pair of Projections in a Hilbert Space

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