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Displaying similar documents to “Ultrabornological structures.”

M -Bornological spaces

Stanislav Tomášek (1970)

Commentationes Mathematicae Universitatis Carolinae

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Strict topologies as topological algebras

Surjit Singh Khurana (2001)

Czechoslovak Mathematical Journal

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Let X be a completely regular Hausdorff space, C b ( X ) the space of all scalar-valued bounded continuous functions on X with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally m -convex.

On Mackey topology for groups

M. Chasco, E. Martín-Peinador, V. Tarieladze (1999)

Studia Mathematica

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The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in...