Norm attaining operators

DOI10.1007/BF02761947zbMath0507.46008OpenAlexW2010090621WikidataQ56319624 ScholiaQ56319624MaRDI QIDQ5917286

Jonathan R. Partington

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02761947

zbMATH Keywords

Banach-Mazur distancenorm-attaining operatorsrenormingsBishop-Phelps propertysuper- reflexive space

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10) Linear spaces of operators (47L05)

Related Items (28)

Numerical index and renorming ⋮ Universally symmetric norming operators are compact ⋮ On quasi norm attaining operators between Banach spaces ⋮ Symmetric block bases of sequences with large average growth ⋮ Renorming Banach spaces with many projections and smoothness properties ⋮ Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-property ⋮ Norm attaining operators and variational principle ⋮ A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces ⋮ The Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)] ⋮ The Bishop-Phelps-Bollobás theorem for operators ⋮ Lineability of the set of supporting vectors ⋮ Smooth points in some spaces of bounded operators ⋮ Simultaneously continuous retraction and Bishop-Phelps-Bollobás type theorem ⋮ The Bishop-Phelps-Bollobás theorem for operators on \(L_1(\mu)\) ⋮ Denseness of holomorphic functions attaining their numerical radii ⋮ Denseness of norm-attaining operators into strictly convex spaces ⋮ The Bishop–Phelps–Bollobás theorem on bounded closed convex sets ⋮ Geometry of Banach spaces with property \(\beta\) ⋮ Every real Banach space can be renormed to satisfy the denseness of numerical radius attaining operators ⋮ Optimization of convex functions on w*-compact sets ⋮ A new sufficient condition for the denseness of norm attaining operators ⋮ Norm-attaining operators into strictly convex Banach spaces ⋮ The Birkhoff-James orthogonality of operators on infinite dimensional Banach spaces ⋮ The Bishop-Phelps-Bollobás property for Lipschitz maps ⋮ Norm attaining operators and renormings of Banach spaces ⋮ Residuality in the set of norm attaining operators between Banach spaces ⋮ The Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B ⋮ The version for compact operators of Lindenstrauss properties A and B

Cites Work

• Unnamed Item
• On dentability and the Bishop-Phelps property
• On operators which attain their norm
• A proof that every Banach space is subreflexive
• Norm attaining operators

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