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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.
Dinamérico Pereira Pombo Junior (1983)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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KHIN AYE AYE AND KARL-HEINZ SCHRODER SUSANNE DiEROLF (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Tsertos, Yannis (1997)
Portugaliae Mathematica
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Susanne Dierolf (1980)
Collectanea Mathematica
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Murali, V. (1991)
International Journal of Mathematics and Mathematical Sciences
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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.