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The Bishop–Phelps–Bollobás Property: a Finite-Dimensional Approach

The Bishop–Phelps–Bollobás Property: a Finite-Dimensional Approach

Our goal is to study the Bishop–Phelps–Bollobás property for operators from c_0 into a Banach space. We first characterize those Banach spaces Y for which the Bishop–Phelps–Bollobás property holds for ( \ell^3_{\infty}, Y) . Examples of spaces satisfying this condition are provided.