THE DRAZIN INVERSES OF PRODUCTS AND DIFFERENCES OF PROJECTIONS IN A C*-ALGEBRA

DOI10.1017/S1446788708000451zbMath1169.15001MaRDI QIDQ3634621

Yuan Li

Publication date: 25 June 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Drazin inverseprojectionproductsdifferencesunital \(C^\ast\)-algebra

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• The Drazin inverses of products and differences of orthogonal projections
• Additive results for the generalized Drazin inverse
• Pseudo-Inverses in Associative Rings and Semigroups
• The weighted g-Drazin inverse for operators
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• Continuity and differentiability of the Moore-Penrose inverse in $C^*$-algebras
• Perturbation theory for pseudo-inverses
• Additive results for the generalized Drazin inverse in a Banach algebra
• Some additive results on Drazin inverse

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