Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors

DOI10.1016/j.jfa.2020.108864OpenAlexW3100153252MaRDI QIDQ2225258

Piotr Polak, Vitalii Marchenko, Grigory M. Sklyar

Publication date: 5 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2020.108864

zbMATH Keywords

\(C_0\)-groupmaximal asymptoticspolynomially bounded semigroupXYZ theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) One-parameter semigroups and linear evolution equations (47D06) Banach sequence spaces (46B45) Linear differential equations in abstract spaces (34G10)

Related Items (1)

One Class of Linearly Growing C_0-Groups

Uses Software

• Eigtool

Cites Work

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• Hardy inequality and the construction of the generator of aC₀-group with eigenvectors not forming a basis
• Asymptotic stability of linear differential equations in Banach spaces
• One-Parameter Semigroups for Linear Evolution Equations
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
• \(C_0\)-groups with polynomial growth

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