Results 1 to 10 of about 18 (16)

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
doaj   +2 more sources

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, Jan Kucera, Kelly McKennon   +2 more
doaj   +2 more sources

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 \(X\).
Dontchev, Julian, Salbany, Sergio, Valov, Vesko   +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
Several additive categories arising in applications fail to be abelian but are only semi-abelian, that is, the morphism \(\bar{f}: \mathrm{coim} f \to \mathrm{im} f \) in the canonical decomposition \(f: A\to \mathrm{coim} f \to \mathrm{im} f \to B\) is as well a mono- as an epimorphism but in general not invertible.
openaire   +1 more source

A class of quasi-barrelled (DF)-spaces which are not bornological

Mathematische Zeitschrift, 1974
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On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]

Mon Hefte Math
Grobner H, Žunar S.
europepmc   +1 more source

The Barrelled Space Associated with a Bornological Space need not Be Bornological

Bulletin of the London Mathematical Society, 1980
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Subspaces of Bornological and Quasibarrelled Spaces

Journal of the London Mathematical Society, 1973
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