Completeness and the open mapping theorem
Vlastimil Pták (1958)
Bulletin de la Société Mathématique de France
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Vlastimil Pták (1958)
Bulletin de la Société Mathématique de France
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Robert Wheeler (1972)
Studia 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.
S. Schonefeld, W. Stiles (1976)
Studia Mathematica
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Stanislav Tomášek (1970)
Czechoslovak Mathematical Journal
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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...
Poggi-Corradini, Pietro (1995)
Journal of Convex Analysis
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