The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras

DOI10.2298/FIL1305851CzbMath1324.46057arXiv1212.1851OpenAlexW2964215882MaRDI QIDQ5252359

Jian Bing Cao, Yifeng Xue

Publication date: 29 May 2015

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1851

zbMATH Keywords

idempotentgeneralized inversegroup inverse\((pq)\)-inverse

Mathematics Subject Classification ID

General theory of topological algebras (46H05)

Related Items (12)

Inner image-kernel \((p, q)\)-inverses in rings ⋮ Weighted inner inverse for rectangular matrices ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ Representations for the image-kernel \((p,q)\)-inverses of block matrices in rings ⋮ The Bott-Duffin \((e,f)\)-inverses and their applications ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Characterizations of the image-kernel (\(p,q\))-inverses ⋮ Representations of the (b,c)-inverses in rings with involution ⋮ Reflexive-EP elements in rings ⋮ New results on (b, c)–inverses ⋮ Miscellaneous equalities for idempotent matrices with applications ⋮ On the (b,c)-inverse in rings

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