García-Raffi, Romaguera, Sánchez-Pérez, Valero: Metrizability of the unit ball of the dual of a quasi-normed cone

García-Raffi, L. M. and Romaguera, S. and Sánchez-Pérez, E. A. and Valero, O.:
Metrizability of the unit ball of the dual of a quasi-normed cone
Bollettino dell'Unione Matematica Italiana Serie 8 7-B (2004), fasc. n.2, p. 483-492, Unione Matematica Italiana (English)
pdf (254 Kb), djvu (149 Kb). | MR2072949 | Zbl 1116.46009

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Dimostriamo teoremi di metrizzabilità e di quasi metrizzabilità per alcune topologie di tipo debole* sulla palla unitaria del duale di un cono quasi normato separabile. Ciò è ottenuto grazie a un'opportuna versione del teorema di Alaoglu, anch'essa dimostrata nel presente lavoro.

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Referenze Bibliografiche