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 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.
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.
W. Roelcke (1972)
Mathematische Annalen
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Jesús M. Fernández Castillo (1989)
Extracta Mathematicae
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Gilsdorf, Thomas E. (1989)
International Journal of Mathematics and Mathematical Sciences
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Krishnamurthy, V.
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Costantini C., Vitolo P.
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AbstractThe notion of decomposable topology is introduced in a partially ordered set and, in particular, in the lattice C(X) of all closed subsets (ordered by reverse inclusion) of a topological space X, which is also called the hyperspace of X. This notion is closely related to the concepts, defined in the same framework, of lower, upper and strong upper topology.We investigate decomposability and unique decomposability of the main hyperspace topologies, and of topologies which are...
Iwo Labuda, Paweł Szeptycki (1994)
Studia Mathematica
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It is shown that the proper domains of integral operators have separating duals but in general they are not locally convex. Banach function spaces which can occur as proper domains are characterized. Some known and some new results are given, illustrating the usefulness of the notion of proper domain.
Marc de Wilde, Bella Tsirulnikov (1979)
Mathematische Annalen
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