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- W2078155658 abstract "We prove the Bishop–Phelps–Bollobás theorem for operators from an arbitrary Banach space X into a Banach space Y whenever the range space has property β of Lindenstrauss. We also characterize those Banach spaces Y for which the Bishop–Phelps–Bollobás theorem holds for operators from ℓ1 into Y. Several examples of classes of such spaces are provided. For instance, the Bishop–Phelps–Bollobás theorem holds when the range space is finite-dimensional, an L1(μ)-space for a σ-finite measure μ, a C(K)-space for a compact Hausdorff space K, or a uniformly convex Banach space." @default.
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- W2078155658 date "2008-06-01" @default.
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- W2078155658 title "The Bishop–Phelps–Bollobás theorem for operators" @default.
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- W2078155658 doi "https://doi.org/10.1016/j.jfa.2008.02.014" @default.
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