Stability theorems for some combinations of two idempotents

DOI10.1080/03081087.2011.575377zbMath1238.47008OpenAlexW2021204556MaRDI QIDQ2879644

Hong-Ke Du, Li Fang

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.575377

zbMATH Keywords

nullitysemi-Fredholm operatoridempotent operatorstability theorems

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Special classes of linear operators (47B99)

Related Items (5)

Invertibility and stability of linear combinations ofm-potent operators ⋮ Characterizations of generalized pencils of pairs of projections ⋮ On equivalence of linear combinations of idempotents ⋮ The range and kernel relations of a pair of projections ⋮ The Drazin and generalized Drazin invertibility of linear combinations of idempotents

Cites Work

• The nullity and rank of linear combinations of idempotent matrices
• Nonsingularity of the difference and the sum of two idempotent matrices
• Idempotency of linear combinations of three idempotent matrices, two of which are disjoint
• The difference and sum of projectors
• Nonsingularity of linear combinations of idempotent matrices
• Stability theorems for linear combinations of idempotents
• Invertibility of linear combinations of two idempotents
• On spectral properties of linear combinations of idempotents

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