Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem

DOI10.4171/JST/344zbMath1487.47073arXiv1809.03079MaRDI QIDQ2043664

Vitalii Marchenko, Grigory M. Sklyar

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03079

zbMATH Keywords

resolventeigenvaluesspectral projectioneigenvectorsHardy inequalitynonselfadjoint operatorgenerator of the \(C_0\)-grouppolynomially bounded semigroupXYZ theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10)

Related Items

One Class of Linearly Growing C_0-Groups

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