A generalization of Dubovitskij-Miliutin theorem
V. Averbuch (2000)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Normal cones and --convex structure”
A generalization of Dubovitskij-Miliutin theorem
Another version of Viday-Palmer's theorem on C*-algebra structure.
M. OUDADESS (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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An order-theoretic approach to involutive algebras
Hermann Render (1989)
Studia Mathematica
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On Bárány's theorems of Carathéodory and Helly type
Ehrhard Behrends (2000)
Studia Mathematica
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The paper begins with a self-contained and short development of Bárány’s theorems of Carathéodory and Helly type in finite-dimensional spaces together with some new variants. In the second half the possible generalizations of these results to arbitrary Banach spaces are investigated. The Carathéodory-Bárány theorem has a counterpart in arbitrary dimensions under suitable uniform compactness or uniform boundedness conditions. The proper generalization of the Helly-Bárány theorem reads...
A non-Banach in-convex algebra all of whose closed commutative subalgebras are Banach algebras.
W. Żelazko (1996)
Studia Mathematica
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We construct two examples of complete multiplicatively convex algebras with the property that all their maximal commutative subalgebras and consequently all commutative closed subalgebras are Banach algebras. One of them is non-metrizable and the other is metrizable and non-Banach. This solves Problems 12-16 and 22-24 of [7].
The barrier cone of a convex set and the closure of the cover.
Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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