Results 1 to 10 of about 230 (41)
Some remarks about Mackey convergence
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we examine Mackey convergence with respect to K-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- convergent
Józef Burzyk, Thomas E. Gilsdorf
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Fast complete locally convex linear topological spaces
International Journal of Mathematics and Mathematical Sciences, 1986 This is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.
Carlos Bosch +2 more
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Barrelled and Bornological Function Spaces
Journal of Mathematical Analysis and Applications, 2000 A subset \(K\) of a completely regular topological space \(Y\) is \(t\)-bounded if \(f(K)\) is a bounded subset of \(\mathbb{R}\) for every real continuous function \(f\) on \(Y\). Let \(X\) be a completely regular topological space. \(\nu X\) is the real-compactification of \(X\).
Julian Dontchev +2 more
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A class of bornological barrelled spaces which are not ultrabornological
Mathematische Annalen, 1971 N. Bourbaki, [1, p. 35], notices that it is not known if every bornological barrelled space is ultrabornological. In this paper we prove that if E is the topological product of an infinite family of bornological barrelled spaces, of non-zero dimension, there exists an infinite number of bornological barrelled subspaces ofE, which are not ...
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Analysis of a problem of Raikov with applications to barreled and bornological spaces
Journal of Pure and Applied Algebra, 2011 AbstractRaikov’s conjecture states that semi-abelian categories are quasi-abelian. A first counterexample is contained in a paper of Bonet and Dierolf who considered the category of bornological locally convex spaces. We prove that every semi-abelian category I admits a left essential embedding into a quasi-abelian category Kl(I) such that I can be ...
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A class of quasi-barrelled (DF)-spaces which are not bornological
Mathematische Zeitschrift, 1974 openaire +3 more sources
On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]
Mon Hefte MathGrobner H, Žunar S.
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The Barrelled Space Associated with a Bornological Space need not Be Bornological [PDF]
Bulletin of the London Mathematical Society, 1980 openaire +1 more source
Subspaces of Bornological and Quasibarrelled Spaces [PDF]
Journal of the London Mathematical Society, 1973 openaire +1 more source