Drazin inversion in the von Neumann algebra generated by two orthogonal projections

DOI10.1016/j.jmaa.2009.05.019zbMath1178.47026OpenAlexW2028564336MaRDI QIDQ2389267

Ilya M. Spitkovskij, Albrecht Böttcher

Publication date: 15 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://scholarworks.wm.edu/aspubs/1117

zbMATH Keywords

von Neumann algebraDrazin inverseMoore-Penrose inverseorthogonal projection

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (8)

A gentle guide to the basics of two projections theory ⋮ Core invertibility of operators from the algebra generated by two orthogonal projections ⋮ The Drazin inverse of the linear combinations of two idempotents in the Banach algebra ⋮ Generalized Drazin invertibility of combinations of idempotents ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents ⋮ On certain finite-dimensional algebras generated by two idempotents ⋮ On relationships between two linear subspaces and two orthogonal projectors

Cites Work

• Unnamed Item
• The Drazin inverses of sum and difference of idempotents
• Once more on algebras generated by two projections
• The Drazin inverses of products and differences of orthogonal projections
• On polynomials in two projections
• Two Subspaces
• A Matrix Representation of a Pair of Projections in a Hilbert Space
• Functional Operators (AM-22), Volume 2
• Some additive results on Drazin inverse

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