A note on the lifting of linear and locally convex topologies on a quotient space.
Susanne Dierolf (1980)
Collectanea Mathematica
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Displaying similar documents to “Ultrabornological structures.”
A note on the lifting of linear and locally convex topologies on a quotient space.
-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 be a completely regular Hausdorff space, the space of all scalar-valued bounded continuous functions on 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 -convex.
Locally convex inductive limits of normed algebras
Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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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...
Completeness and the open mapping theorem
Vlastimil Pták (1958)
Bulletin de la Société Mathématique de France
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The Mackey-Arens theorem for non-locally convex spaces.
Jerzy Kakol (1990)
Collectanea Mathematica
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Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.