Invertibility and stability of linear combinations ofm-potent operators

DOI10.1080/03081087.2013.828719zbMath1309.15009OpenAlexW2019254690MaRDI QIDQ2929477

Chun-Yuan Deng

Publication date: 12 November 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.828719

zbMATH Keywords

Hilbert spacegroup inversereduced minimum moduluslinear combination of \(m\)-potents

Mathematics Subject Classification ID

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

Related Items (1)

On the invertibility and range closedness of the linear combinations of a pair of projections

Cites Work

• On invertibility of combinations of \(k\)-potent operators
• The nullity and rank of linear combinations of idempotent matrices
• A note on \(k\)-generalized projections
• On the perturbation of the least squares solutions in Hilbert spaces
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• A note on linear combinations of commuting tripotent matrices
• Stability theorems for linear combinations of idempotents
• Fredholmness of linear combinations of two idempotents
• Stability theorems for some combinations of two idempotents
• On nonsingularity of combinations of two group invertible matrices and two tripotent matrices
• Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators
• Inner, outer, and generalized inverses in banach and hilbert spaces
• On spectral properties of linear combinations of idempotents

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