Fredholmness of a linear combination of operators

DOI10.1016/j.jmaa.2017.09.027zbMath1403.47002OpenAlexW2755484833MaRDI QIDQ1674409

Dragana S. Cvetković-Ilić, Jovana Milošević

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.09.027

zbMATH Keywords

idempotentFredholm operatorsorthogonal projectionoperator matricescompletions problems

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53)

Related Items

Certain properties of orthogonal projections, Unnamed Item

Cites Work

• The nullity and rank of linear combinations of idempotent matrices
• Fredholm properties of the difference of orthogonal projections in a Hilbert space
• Stability theorems for linear combinations of idempotents
• Semi-Fredholm spectrum and Weyl's theorem for operator matrices
• Fredholmness of linear combinations of two idempotents
• Some results on Fredholmness and boundedness below of an upper triangular operator matrix
• Invertibility and Fredholmness of linear combinations of quadratic, k-potent and nilpotent operators
• On spectral properties of linear combinations of idempotents
• Spectral theory of linear operators and spectral systems in Banach algebras
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