Some properties of continuous function spaces
Ferrer, J.R., López Pellicer, M., Sánchez Ruiz, L.M. (1992)
Portugaliae mathematica
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Displaying similar documents to “Embedding locally convex algebras in non A-convex algebras without non-zero continuous multiplicative linear functionals”
Some properties of continuous function spaces
The three-space-problem for locally-m-convex algebras.
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.
An associative law for infinite topological A-tensor product A-algebras
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Semidirect products of locally convex algbras and the three-space-problem.
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Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Existence of best approximations
Thaheem, A.B. (1983-1984)
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Representation of locally convex algebras.
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.
On topologizable algebras
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Discontinuity of the product in multiplier algebras.
Mohamed Oudadess (1990)
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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.
The Oka-Weil theorem in locally convex spaces with the approximation property
Jorge Mujica (1977-1978)
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Pairs of sets with convex union.
Ryszard Urbanski (1997)
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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.