Some properties of continuous function spaces
Ferrer, J.R., López Pellicer, M., Sánchez Ruiz, L.M. (1992)
Portugaliae mathematica
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Ferrer, J.R., López Pellicer, M., Sánchez Ruiz, L.M. (1992)
Portugaliae mathematica
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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.
Kyriazis, Athanasios (1989)
Portugaliae mathematica
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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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Thaheem, A.B. (1983-1984)
Portugaliae mathematica
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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.
V. Müller (1991)
Studia Mathematica
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Mohamed Oudadess (1990)
Publicacions Matemàtiques
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Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
Jorge Mujica (1977-1978)
Séminaire Paul Krée
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Ryszard Urbanski (1997)
Collectanea Mathematica
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In this paper the notion of convex pairs of convex bounded subsets of a Hausdorff topological vector space is introduced. Criteria of convexity pair are proved.