Supertauberian operators and perturbations

DOI10.1007/BF01197221zbMath0822.47016OpenAlexW1493132672MaRDI QIDQ1893241

Antonio Martínez-Abeljón, González, Manuel

Publication date: 7 August 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197221

zbMATH Keywords

superreflexiveTauberian operatorsultraproduct techniquesBanach spaces whose reflexive quotients are superreflexiveBanach spaces whose superreflexive subspaces are finite- dimensionalcharacterize Banach spaces whose reflexive subspaces are superreflexiveperturbative characterizationsuperreflexive quotients are finite-dimensionalsupertauberian operatorsupper semi-Fredholm operators

Mathematics Subject Classification ID

Ultraproducts in functional analysis (46M07) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (8)

Finite representability of operators. ⋮ Disjointly non-singular operators: extensions and local variations ⋮ Cotauberian operators on \(L_1(0, 1)\) obtained by lifting ⋮ Ultrapowers and semigroups of operators ⋮ Examples of Tauberian operators acting on \(C[0,1\)] ⋮ Tauberian Operators. Properties, Applications and Open Problems ⋮ Finite representability of operators in the sense of Bellenot ⋮ Local duality for Banach spaces

Cites Work

• Norm-attainment of linear functionals on subspaces and characterizations of Tauberian operators
• Factoring weakly compact operators
• Semigroups of operators and measures of noncompactness
• Some Examples of Tauberian Operators
• Characterizations of Tauberian Operators and Other Semigroups of Operators
• For a Banach space isomorphic to its square the Radon-Nikodým property and the Krein-Milman property are equivalent
• Tauberian Operators on Banach Spaces
• Ultraproducts in Banach space theory.
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