The Bishop-Phelps-Bollobás property for operators from $\mathcal{C}(K)$ to uniformly convex spaces

preprint2014arXivOpen access

We show that the pair $(C(K),X)$ has the Bishop-Phelps-Bollobaás property for operators if $K$ is a compact Hausdorff space and $X$ is a uniformly convex space.

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The Bishop-Phelps-Bollobás property for operators from $\mathcal{C}(K)$ to uniformly convex spaces

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The Bishop-Phelps-Bollobás property for operators from C(K)\mathcal{C}(K)C(K) to uniformly convex spaces

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The Bishop-Phelps-Bollobás property for operators from $\mathcal{C}(K)$ to uniformly convex spaces