Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors

DOI10.1016/j.jfa.2016.11.001zbMath1359.47042arXiv1405.2731OpenAlexW2963219440MaRDI QIDQ350527

Vitalii Marchenko, Grigory M. Sklyar

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1405.2731

zbMATH Keywords

Riesz basisHardy inequalitysymmetric basis\(C_0\)-group

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Linear differential equations in abstract spaces (34G10)

Related Items (4)

One Class of Linearly Growing C_0-Groups ⋮ Sharp polynomial bounds for certain \(C_0\)-groups generated by operators with non-basis family of eigenvectors ⋮ Resolvent of the generator of the \(C_0\)-group with non-basis family of eigenvectors and sharpness of the XYZ theorem ⋮ On Polynomial Stability of Certain Class of C0-Semigroups

Cites Work

• Unnamed Item
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• Riesz basis for strongly continuous groups
• Stability of certain classes of evolution equations
• Operators similar to unitary of selfadjoint ones
• The expansion of a semigroup and a Riesz basis criterion
• The asymptotic behaviour of semigroups of linear operators
• The functional calculus for sectorial operators
• On operators generating conditional bases in a Hilbert space
• On the space of p -summable difference sequences of order m , (1 ≦ p < ∞)
• One-Parameter Semigroups for Linear Evolution Equations
• Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space
• ON SUMMABILITY AND CONVERGENCE OF EIGENFUNCTION EXPANSIONS OF A DIFFERENTIAL OPERATOR
• The Prehistory of the Hardy Inequality
• Biorthogonal Systems in l^p-Spaces
• On the invertibility and bounded extension of \(C_0\)-semigroups

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