Geodesic
The Mazur property and completeness in the space of Bochner-integrable functions L1(μ, X)
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 201-206

Voir la notice de l'article provenant de la source Cambridge University Press

A locally convex space (E, ) has the Mazur Property if and only if every linear -sequential continuous functional is -continuous (see [11]).In the Banach space setting, a Banach space X is a Mazur space if and only if the dual space X* endowed with the w*-topology has the Mazur property. The Mazur property was introduced by S. Mazur, and, for Banach spaces, it is investigated in detail in [4], where relations with other properties and applications to measure theory are listed. T. Kappeler obtained (see [8]) certain results for the injective tensor product and showed that L1(μ, X), the space of Bochner-integrable functions over a finite and positive measure space (S, σ, μ), is a Mazur space provided X is also, and l1 does not embed in X. 
Schlüchtermann, G. The Mazur property and completeness in the space of Bochner-integrable functions L1(μ, X). Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 201-206. doi: 10.1017/S0017089500008727
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