Stability theorems for linear combinations of idempotents

DOI10.1007/s00020-007-1495-zzbMath1131.47010OpenAlexW2065990074MaRDI QIDQ2385090

J. J. Koliha, Vladimir Rakočevič

Publication date: 11 October 2007

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-007-1495-z

zbMATH Keywords

nullitysemi-Fredholm operatoridempotent operatorstability theorems

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Basic linear algebra (15A99) Special classes of linear operators (47B99) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (14)

Characterizations and representations of the Drazin inverse involving idempotents ⋮ A gentle guide to the basics of two projections theory ⋮ Invertibility and stability of linear combinations ofm-potent operators ⋮ Fredholmness of a linear combination of operators ⋮ Unnamed Item ⋮ Characterizations and representations of the group inverse involving idempotents ⋮ The Drazin inverse of the linear combinations of two idempotents in the Banach algebra ⋮ On invertibility of combinations of \(k\)-potent operators ⋮ Properties of the combinations of commutative idempotents ⋮ On equivalence of linear combinations of idempotents ⋮ Characterizations of the reflection operators ⋮ Invertibility of linear combinations in B(ℋ) ⋮ The range and kernel relations of a pair of projections ⋮ Stability theorems for some combinations of two idempotents

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