Invariant subspaces of Volterra integration operator: Axiomatical approach

DOI10.1016/j.bulsci.2011.12.006zbMath1254.47007OpenAlexW2012575724MaRDI QIDQ441903

Ramiz Tapdigoglu

Publication date: 8 August 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.12.006

zbMATH Keywords

invariant subspacesDuhamel productunicellularityVolterra integration operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Integral operators (47G10) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

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Some applications of the \(\alpha\)-Duhamel product, On the Banach algebra structure for \(C^{(\mathbf{n})}\) of the bidisc and related topics, A Banach algebra structure on the $q$-Bergman space and related topics, On the solvability of some operator equations, Commutant and uniqueness of solutions of Duhamel equations, Unnamed Item, On some applications of Duhamel operators

Cites Work

• Closed ideals in \(C^\infty\) with the Duhamel product as multiplication
• On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators
• The lattice of invariant subspaces of a completely continuous quasinilpotent transformation
• Volterra invariant subspaces of \(H^p\)
• A remark on the Volterra operator
• On extended eigenvalues and extended eigenvectors of some operator classes
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