Norm attaining operators from \(L_1\) into \(L_\infty\)

DOI10.1007/BF02783045zbMath0929.47037OpenAlexW1998095486MaRDI QIDQ1282270

R. Payá-Albert, Catherine Finet

Publication date: 25 January 2000

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

Full work available at URL: https://doi.org/10.1007/bf02783045

zbMATH Keywords

norm attaining operatordense subspace

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Linear operators on function spaces (general) (47B38) Linear spaces of operators (47L05)

Related Items (18)

On norm attaining polynomials. ⋮ Bishop-Phelps-Bollobás property for bilinear forms on spaces of continuous functions ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex spaces ⋮ A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces ⋮ The Bishop-Phelps-Bollobás property for operators from \(\mathcal C(K)\) to uniformly convex spaces ⋮ On a set of norm attaining operators and the strong Birkhoff-James orthogonality ⋮ The Bishop-Phelps-Bollobás theorem for \(\mathcal L(L_1 (\mu), L_\infty [0,1)\)] ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(L_1(\mu)\) to Banach spaces with the Radon-Nikodým property ⋮ Norm attaining multilinear forms on \(L_{1}(\mu )\) ⋮ Simultaneously continuous retraction and Bishop-Phelps-Bollobás type theorem ⋮ The Bishop-Phelps-Bollobás theorem for operators on \(L_1(\mu)\) ⋮ Polynomials, symmetric multilinear forms and weak compactness ⋮ A multilinear Lindenstrauss theorem ⋮ On the polynomial Lindenstrauss theorem ⋮ Strong subdifferentiability and local Bishop-Phelps-Bollobás properties ⋮ The Bishop-Phelps-Bollobás property for bilinear forms and polynomials ⋮ The Bishop-Phelps-Bollobás theorem fails for bilinear forms on \(l_{1}\times l_{1}\) ⋮ Residuality in the set of norm attaining operators between Banach spaces

Cites Work

• Norm attaining operators on some classical Banach spaces
• On dentability and the Bishop-Phelps property
• Norm attaining bilinear forms on \(L^ 1[0,1\)]
• There is no bilinear Bishop-Phelps theorem
• On operators which attain their norm
• Symmetric block bases of sequences with large average growth
• A proof that every Banach space is subreflexive
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
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