Characterizations of Tauberian Operators and Other Semigroups of Operators

DOI10.2307/2048288zbMath0704.47016OpenAlexW4235372529MaRDI QIDQ3483872

Victor M. Onieva, González, Manuel

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048288

zbMATH Keywords

semigroups of operatorscompact perturbationTauberian operatorscompact ideal semigroup

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Groups and semigroups of linear operators (47D03) (Semi-) Fredholm operators; index theories (47A53) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Convolution operators on group algebras which are tauberian or cotauberian ⋮ New classes of operators admitting a perturbative characterization ⋮ Supertauberian operators and perturbations ⋮ Disjointly non-singular operators: extensions and local variations ⋮ Cotauberian operators on \(L_1(0, 1)\) obtained by lifting ⋮ A spectral radius problem connected with weak compactness ⋮ On basic sequences in dual Banach spaces ⋮ Disjointly non-singular operators on Banach lattices ⋮ Conjugate operators that preserve the nonconvergence of bounded martingales ⋮ A quantitative approach to disjointly non-singular operators ⋮ Classes of operators preserved by extensions or liftings ⋮ Ultrapowers and semigroups of operators ⋮ On a theorem of Kalton and Wilansky concerning Tauberian operators ⋮ Examples of Tauberian operators acting on \(C[0,1\)] ⋮ Lifting unconditionally converging series and semigroups of operators ⋮ Some properties of the second conjugate of a Tauberian operator ⋮ Tauberian Operators. Properties, Applications and Open Problems

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