Norm attaining operators and renormings of Banach spaces

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Publication:795277

DOI10.1007/BF02760971zbMath0542.46013MaRDI QIDQ795277

Walter Schachermayer

Publication date: 1983

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




Related Items (34)

Numerical index and renormingUniversally symmetric norming operators are compactThe Bishop–Phelps–Bollobás Theorem: An OverviewOn denseness of certain norms in Banach spacesRenorming Banach spaces with many projections and smoothness propertiesNorm attaining bilinear forms on \(L^ 1[0,1\)] ⋮ Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-propertyNorm attaining operators and variational principleDaugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functionsVector-valued numerical radius and \(\sigma\)-porosityThe Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)] ⋮ Property (quasi-α) and the denseness of norm attaining mappingsThe universal renormingThe Bishop-Phelps-Bollobás theorem for operatorsSmooth points in some spaces of bounded operatorsSimultaneously continuous retraction and Bishop-Phelps-Bollobás type theoremThe Bishop-Phelps-Bollobás theorem for operators on \(L_1(\mu)\)Examples and applications of the density of strongly norm attaining Lipschitz mapsGeometry of Banach spaces with property \(\beta\)Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operatorsOptimization of convex functions on w*-compact setsA new sufficient condition for the denseness of norm attaining operatorsThe Bishop-Phelps-Bollobás theorem and Asplund operatorsOn strongly norm attaining Lipschitz mapsNorm-attaining tensors and nuclear operatorsConvex maximization and Schachermayer property \(\alpha \)Some generalizations of locally uniform rotundityThe Birkhoff-James orthogonality of operators on infinite dimensional Banach spacesThe Bishop-Phelps-Bollobás property for Lipschitz mapsBishop-Phelps-Bollobás property for certain spaces of operatorsResiduality in the set of norm attaining operators between Banach spacesGroup invariant operators and some applications to norm-attaining theoryThe Bishop-Phelps-Bollobás version of Lindenstrauss properties A and BThe version for compact operators of Lindenstrauss properties A and B



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