Geodesic
Metrizability of the unit ball of the dual of a quasi-normed cone
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 483-492

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We obtain theorems of metrization and quasi-metrization for several topologies of weak* type on the unit ball of the dual of any separable quasi-normed cone. This is done with the help of an appropriate version of the Alaoglu theorem which is also obtained here. 
@article{BUMI_2004_8_7B_2_a13,
     author = {Garc{\'\i}a-Raffi, L. M. and Romaguera, S. and S\'anchez-P\'erez, E. A. and Valero, O.},
     title = {Metrizability of the unit ball of the dual of a quasi-normed cone},
     journal = {Bollettino della Unione matematica italiana},
     pages = {483--492},
     publisher = {mathdoc},
     volume = {Ser. 8, 7B},
     number = {2},
     year = {2004},
     zbl = {1116.46009},
     mrnumber = {MR2072949},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a13/}
}
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García-Raffi, L. M.; Romaguera, S.; Sánchez-Pérez, E. A.; Valero, O. Metrizability of the unit ball of the dual of a quasi-normed cone. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 483-492. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a13/