An analogue of the Krein-Milman theorem for star-shaped sets.
Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Martini, Horst, Wenzel, Walter (2003)
Beiträge zur Algebra und Geometrie
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Martini, Horst, Wenzel, Walter (2004)
Beiträge zur Algebra und Geometrie
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Gennadiy Averkov (2003)
Extracta Mathematicae
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Matvijchuk, K.S. (2000)
Siberian Mathematical Journal
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Aida Toma (2003)
Extracta Mathematicae
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In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.
C. M. Eoff (1992)
Annales Polonici Mathematici
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The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.
Luca Brandolini (1993)
Colloquium Mathematicae
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Caruso, A. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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E. Ignaczak, A. Paszkiewicz (1998)
Applicationes Mathematicae
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We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
Borwein, Jonathan, Lucet, Yves, Mordukhovich, Boris (2000)
Journal of Convex Analysis
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Blezu, Dorin (2001)
General Mathematics
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Nikodem, Kazimierz, Páles, Zsolt (2011)
Banach Journal of Mathematical Analysis [electronic only]
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