Description of extended eigenvalues and extended eigenvectors of integration operators on the Wiener algebra

DOI10.1016/j.exmath.2008.10.006zbMath1172.47002OpenAlexW2040864883MaRDI QIDQ1013797

Mehmet Gürdal

Publication date: 23 April 2009

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2008.10.006

zbMATH Keywords

Wiener algebraweighted shift operatorDuhamel productVolterra integration operatorextended eigenvalueextended eigenvector

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38)

Related Items (14)

Duhamel Banach algebra structure of some space and related topics ⋮ On some deddens subspaces of Banach algebras ⋮ Some applications of the \(\alpha\)-Duhamel product ⋮ On the Banach algebra structure for \(C^{(\mathbf{n})}\) of the bidisc and related topics ⋮ On some questions for the q-integration operator ⋮ Toeplitz-Berezin-type symbols and solutions of some operator equations ⋮ On the solvability of some operator equations ⋮ On some applications of a special integrodifferential operators ⋮ Unnamed Item ⋮ Spectral multiplicities of some operators ⋮ Commutant and uniqueness of solutions of Duhamel equations ⋮ Unnamed Item ⋮ Some applications of Banach algebra techniques ⋮ On some applications of Duhamel operators

Cites Work

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• Compact operators without extended eigenvalues
• On some properties of Deddens algebras
• Beyond hyperinvariance for compact operators
• The Duhamel product of analytic functions
• A Banach algebra structure for the Wiener algebra of the disc
• On extended eigenvalues and extended eigenvectors of some operator classes

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