Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. I: Abstract theory

DOI10.1016/J.MATPUR.2009.04.005zbMath1175.47012OpenAlexW2007172624MaRDI QIDQ842352

Yakov Yakubov

Publication date: 25 September 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.04.005

zbMATH Keywords

discrete spectrumapproximation numbersGelfand numbersfold completeness

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (5)

Perturbations of polynomials with operator coefficients ⋮ Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. II: Application ⋮ Unnamed Item ⋮ Second order elliptic differential-operator equations with unbounded operator boundary conditions in \(UMD\) Banach spaces ⋮ Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators

Cites Work

• Multiple completeness of root vectors of a system of operator pencils and its application
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space
• Completeness of Eigenvectors in Banach Spaces
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