On invertibility of combinations of \(k\)-potent operators

DOI10.1016/j.laa.2012.02.011zbMath1250.47001OpenAlexW2013024195MaRDI QIDQ417602

Dragana S. Cvetković-Ilić, Yi-Min Wei, Chun-Yuan Deng

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.02.011

zbMATH Keywords

inversegroup inverselinear combination of \(k\)-potents

Mathematics Subject Classification ID

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

Related Items

Invertibility and stability of linear combinations ofm-potent operators, On nonsingularity and group invertibility of combinations of two group invertible matrices, On the invertibility and range closedness of the linear combinations of a pair of projections, The range and kernel relations of a pair of projections, On the idempotency, involution and nilpotency of a linear combination of two matrices

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