Abstract:A pair of Banach spaces (E, F ) is said to have the weak maximizing property (WMP, for short) if for every bounded linear operator T from E into F , the existence of a non-weakly null maximizing sequence for T implies that T attains its norm. This property was recently introduced in an article by R. Aron, D. García, D. Pelegrino and E. Teixeira, raising several open questions. The aim of the present paper is to contribute to the better knowledge of the WMP and its limitations. Namely, we provide sufficient con… Show more
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