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Bornological space
In mathematics, particularly in functional analysis, a bornological space is a type of space which, in some sense, possesses the minimum amount of structure ... More »
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ncatlab.org/nlab/show/bornological+space
Nov 13, 2011 ... So far, we only discuss bornological topological vector spaces. See bornological set for the general notion of bornological space. However, we ...
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Jan 22, 2011 ... Linear operators on Hilbert spaces are continuous precisely iff they are bounded. A bornological space retains this property by definition.
www.jstor.org/stable/2042474
We show that C (X, F, p) is a bornological space if and only if. X is a Z-replete space. Also, some results are found concerning the compact-open topology c and ...
planetmath.org/encyclopedia/BornilogicalSpace.html
bornological space, (Definition) ... A locally convex topological vector space is said to be bornological if every ... "bornological space" is owned by Mathprof.
www.jstor.org/stable/2043055
The vector space. C(X, F) of all continuous functions from X into F is provided with the compact-open topology c. We prove that C(X, F, c) is bornological if and ...
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Keywords: convergent sequence; bounded set;L* -space; additive filterbase; bornological space. The L* —space was introduced by Dudley R Mm. It is a vector ...
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In this paper, two classes of linear bornological spaces are considered, the ... because the compact bornology of an infinite dimensional Banach space is ...
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HausdorfT locally convex space E is bornological if, and only if, E is an inductive limit of normed ... bornological space is an inductive limit of Banach spaces.
www.analg.ulg.ac.be/jps/rec/hsbs.pdf
Abstract. In this paper, we show that the category Bc of bornological vector spaces ... bornological spaces and that of sheaves with values in Ind(Ban) used in [4].
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