On a Schauder basis related to the eigenvectors of a family of non-selfadjoint analytic operators and applications

DOI10.1007/s13324-013-0060-yzbMath1311.47014OpenAlexW2009393859MaRDI QIDQ390265

Ridha Sfaxi, Ines Feki, Aref Jeribi

Publication date: 23 January 2014

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

Full work available at URL: https://doi.org/10.1007/s13324-013-0060-y

zbMATH Keywords

perturbation theorySchauder basisspectrumclosed operatorroot vectorsBargmann spaceGribov operatorelastic membranecompleteness of eigenvectors

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55)

Related Items (6)

Non-orthogonal fusion frames of an analytic operator and application to a one-dimensional wave control system ⋮ On an unconditional basis with parentheses for generalized subordinate perturbations and application to Gribov operators in Bargmann space ⋮ On a Riesz basis of exponentials related to the eigenvalues of an analytic operator and application to a non-selfadjoint problem deduced from a perturbation method for sound radiation ⋮ Riesz basis of eigenvectors for analytic families of operators and application to a non-symmetrical Gribov operator ⋮ On a Riesz basis of exponentials related to a family of analytic operators and application ⋮ Frame of exponentials related to analytic families operators and application to a non-self adjoint problem of radiation of a vibrating structure in a light fluid

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• On the Riesz basis of a family of analytic operators in the sense of Kato and application to the problem of radiation of a vibrating structure in a light fluid
• Störungstheorie der Spektralzerlegung. I. Analytische Störung der isolierten Punkteigenwerte eines beschränkten Operators
• On a Hilbert space of analytic functions and an associated integral transform part I
• Perturbation Method For Sound Radiation By A Vibrating Plate In A Light Fluid: Comparison With The Exact Solution

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