Some notes on convex sets.
Manuel Valdivia (1978/79)
Manuscripta mathematica
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Manuel Valdivia (1978/79)
Manuscripta mathematica
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Reinhard Börger, Ralf Kemper (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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V.E. Zizler, R.A. Poliquin (1990)
Manuscripta mathematica
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Hüsseinov, F. (1999)
Journal of Convex Analysis
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L. Oubbi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
Oudadess, Mohamed (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Rade Živaljević (1979)
Publications de l'Institut Mathématique
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S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
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Josip E. Pečarić (1980)
Publications de l'Institut Mathématique
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Siniša Vrećica (1981)
Publications de l'Institut Mathématique
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Susanne Dierolf, Thomas Heintz (2003)
RACSAM
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We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.