A spectral mapping theorem for representations of one-parameter groups

DOI10.1090/S0002-9939-06-08210-4zbMath1131.47041OpenAlexW1586820560MaRDI QIDQ5290040

H. Seferoglu

Publication date: 24 April 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08210-4

zbMATH Keywords

\(C_0\)-group of operatorsspectral mapping theorem

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Representations of group algebras (22D20) Group algebras of locally compact groups (22D15)

Related Items (2)

On the boundedness of generalized Cesàro operators on Sobolev spaces ⋮ Integral operators on Sobolev-Lebesgue spaces

Cites Work

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• A spectral mapping theorem for locally compact groups of operators
• The asymptotic behaviour of semigroups of linear operators
• Concerning dense subideals in commutative Banach algebras
• Projections on Invariant Subspaces
• One-Parameter Semigroups for Linear Evolution Equations
• Spectral Mapping Theorems for C₀‐groups Satisfying Non‐quasianalytic Growth Conditions
• A spectral mapping theorem for Banach modules
• A spectral mapping theorem for some representations of compact abelian groups

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