Norm attaining operators on \(L^1[0,1]\) and the Radon-Nikodym property

DOI10.2140/pjm.1976.63.293zbMath0338.46022OpenAlexW2055483424MaRDI QIDQ1231132

J. J. jun. Uhl

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2140/pjm.1976.63.293

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Vector-valued measures and integration (46G10)

Related Items (14)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Norm-attaining lattice homomorphisms ⋮ On quasi norm attaining operators between Banach spaces ⋮ Norm attaining bilinear forms on \(L^ 1[0,1\)] ⋮ Isometric and almost isometric operators ofB(L 1→L1) ⋮ The Bishop-Phelps-Bollobás theorem for operators from \(c_0\) to uniformly convex 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 operators from \(L_1(\mu)\) to Banach spaces with the Radon-Nikodým property ⋮ Denseness of norm-attaining operators into strictly convex spaces ⋮ The Bishop-Phelps-Bollobás property for bilinear forms and polynomials ⋮ Norm-attaining operators into strictly convex Banach spaces ⋮ Norm-attaining tensors and nuclear operators ⋮ Group invariant operators and some applications to norm-attaining theory

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