A note on the lifting of linear and locally convex topologies on a quotient space.
Susanne Dierolf (1980)
Collectanea Mathematica
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Susanne Dierolf (1980)
Collectanea Mathematica
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Jerzy Kąkol, Pekka Sorjonen (1991)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.
Jerzy Kąkol (1986)
Czechoslovak Mathematical Journal
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Krishnamurthy, V.
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Gilsdorf, Thomas E. (1989)
International Journal of Mathematics and Mathematical Sciences
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Jesús M. Fernández Castillo (1989)
Extracta Mathematicae
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Ansemil, J.M., Ponte, S. (1985-1986)
Portugaliae mathematica
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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...