Superstable operators on Banach spaces

DOI10.1007/BF02761307zbMath0788.47003MaRDI QIDQ1261919

Frank Räbiger, Rainer Nagel

Publication date: 7 September 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultrapowerssuperstable operatorgeometry of Banach spacesoperators on Banach latticesspectrum of a power bounded linear operator on a superreflexive Banach spacespectrum of bounded linear operators on Banach spaces

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Ultraproducts in functional analysis (46M07) Structure theory of linear operators (47A65) Ultraproducts and related constructions (03C20)

Related Items (7)

A survey on perturbed exponentially stable \(C_0\)-semigroups ⋮ Asymptotic behaviour of integrated semigroups ⋮ On isometry groups and maximal symmetry ⋮ Superstable semigroups of operators ⋮ Lower bounds and the asymptotic behaviour of positive operator semigroups ⋮ Super-Ergodic operators ⋮ Some improvements of the Katznelson- Tzafriri theorem on Hilbert space

Cites Work

• A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of Abelian semigroups
• Ergodic theorems. With a supplement by Antoine Brunel
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Ultrapowers and Local Properties of Banach Spaces
• Ultraproducts in Banach space theory.
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