The RAGE theorem in Banach spaces

DOI10.1007/BF02573481zbMath0804.47043MaRDI QIDQ1333177

Josef Kreulich

Publication date: 12 October 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135344

zbMATH Keywords

weak almost periodicityRAGE theoremsscattering theory in Hilbert spacesuniformly bounded \(C_ 0\)-semigroups on Banach spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03)

Related Items (5)

Applications of operator semigroups to Fourier analysis ⋮ Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings ⋮ Mathematical models of incompressible fluids as singular limits of complete fluid systems ⋮ FLOWS OF VISCOUS COMPRESSIBLE FLUIDS UNDER STRONG STRATIFICATION: INCOMPRESSIBLE LIMITS FOR LONG-RANGE POTENTIAL FORCES ⋮ Application of abstract semigroup theory to the asymptotic behavior of \(C_0\)-semigroups

Cites Work

• Applications of almost periodic compactifications
• Almost periodic functions on semigroups
• A characterization of sun-reflexivity
• Weakly almost periodic semigroups of operators
• Ergodic limits of tensor product semigroups
• The adjoint of a semigroup of linear operators
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Weak almost periodicity and the strong ergodic limit theorem for contraction semigroups
• The adjoint semi-group
• On Vector-Valued Weakly Almost Periodic Functions
• Ergodic Theorems for Semigroups of Operators
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
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