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A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces

A sharp operator version of the Bishop-Phelps theorem for operators from $\ell _1$ to CL-spaces

Acosta et al. in 2008 gave a characterization of a Banach space $Y$ (called an approximate hyperplane series property, or AHSP for short) guaranteeing exactly that a quantitative version of the Bishop-Phelps theorem holds for bounded operators from $\ell _1$ to the space $Y$. In this note, we give two …