Fredholm operators and Riesz theory for polynomially compact operators

DOI10.1007/s10440-006-9023-8zbMath1113.47013OpenAlexW2056888305MaRDI QIDQ2498383

Aref Jeribi, Nedra Moalla

Publication date: 16 August 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-006-9023-8

zbMATH Keywords

Fredholm operatorRiesz operatorRiesz-Schauder theorypolynomially compact operatoroperator equations of the second kindgeneralised Riesz operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (9)

Spectral properties involving generalized weakly demicompact operators ⋮ Symmetric family of Fredholm operators of indices zero, stability of essential spectra and application to transport operators ⋮ Spectral properties for generalized weakly S-demicompact operators ⋮ On a characterization of Jeribi, Rakočević, Schechter, Schmoeger and Wolf essential spectra of a 3⨉3 block operator matrices with non diagonal domain and application ⋮ A characterization of unbounded generalized meromorphic operators ⋮ PERTURBATION OF BANACH SPACE OPERATORS WITH A COMPLEMENTED RANGE ⋮ On the essential spectra of unbounded operator matrices with non diagonal domain and an application ⋮ Perturbation results on semi-Fredholm operators and applications ⋮ Characterization and stability of the essential spectrum based on measures of polynomially non-strict singularity operators

Cites Work

• Unnamed Item
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• Some results on Fredholm operators, essential spectra, and application
• On the structure of polynomially compact operators
• Theorems on ascent, descent, nullity and defect of linear operators
• On the essential spectrum of transport operators on L1-spaces
• The Structure and Asymptotic Behavior of Polynomially Compact Operators

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