\(\Gamma\)-inverses of bounded linear operators

DOI10.1007/s10114-013-2552-yzbMath1306.47006OpenAlexW2398531669MaRDI QIDQ2452413

Xiao Chun Fang, Hong-Ke Du, Xiao-Ming Xu

Publication date: 3 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2552-y

zbMATH Keywords

generalized inverseMoore-Penrose inverse\(\Gamma\)-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Moore--Penrose inverses of partitioned adjointable operators on Hilbert \(C^*\)-modules
• The Moore-Penrose inverses of products and differences of projections in a \(C^*\)-algebra
• On the \(\Gamma\)-rings of Nobusawa
• Radicals of gamma rings
• Further results on the Moore–Penrose invertibility of projectors and its applications
• PERTURBATION ANALYSIS OF THE MOORE-PENROSE INVERSE FOR A CLASS OF BOUNDED OPERATORS IN HILBERT SPACES
• Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices
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