Relative demicompactness properties for exponentially bounded \(C^0\)-semigroups

DOI10.3103/S1066369X22060019OpenAlexW4315558471MaRDI QIDQ2678461

Hedi Benkhaled, Aref Jeribi, Asrar Elleuch

Publication date: 23 January 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22060019

zbMATH Keywords

Hilbert space\(C\)-semigrouprelative demicompact linear operator

Mathematics Subject Classification ID

Operator theory (47-XX) Groups and semigroups of linear operators, their generalizations and applications (47Dxx) General theory of linear operators (47Axx)

Cites Work

• Exponentially bounded C-semigroups and generation of semigroups
• Demicompactness results for strongly continuous semigroups, generators and resolvents
• Integrated semigroups and \(C\)-semigroups and their applications
• \(C\)-semigroups and the Cauchy problem
• Relative essential spectra involving relative demicompact unbounded linear operators
• Construction of fixed points of demicompact mappings in Hilbert space
• Demicompact linear operators, essential spectrum and some perturbation results
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
• One-Parameter Semigroups for Linear Evolution Equations
• Characterizations of contraction 𝐶-semigroups
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices

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