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Nonseparable closed vector subspaces of separable topological vector spaces
In 1983 P. Domański investigated the question: For which separable topological vector spaces E, does the separable space [InlineEquation not available: see fulltext of the continuum? He provided a partial answer, p...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Topological groups with invariant linear spans
into some topological vector space (over the field of reals) we say that G has invariant vector spaces are isomorphic as topological vector spaces. For an arbitrary set A let-di...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Descriptive topology in selected topics of functional analysis
results in descriptive topology to study the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces,LF-spaces an...
BA - Obecná matematika
- 2011 •
- B •
- Link
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B - Odborná kniha
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Henstock-Kurzweil Integration: Its Relation to Topological Vector-Spaces.
This monograph is devoted to the vector space of equivalence classes of functions which are Henstock-Kurzweil integrable on a compact one-dimensional interval or equivalently, to the vector space P of their primiti...
BA - Obecná matematika
- 2000 •
- B
Rok uplatnění
B - Odborná kniha
A characterization of Hyers-Lang differentiability in terms of a tangent cone
We introduce the notion of Hyers-Lang tangent cone to a subset of a topological vector space, and give a characterization, for the case of locally convex topological vector spaces, of Hyers-Lang d...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on multiplier convergent series
topological vector space. On the other hand, we construct examples that in particular show convergent and that there are topological vector spaces containing non-trivial $Q^N. As a consequence of...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Exact categories of topological vector spaces with linear topology
We explain why the naïve definition of a natural exact category structure on complete, separated topological vector spaces with linear topology fails. In particular, contrary to Beilinson’s paper 'Remarks on to...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On the category of lattice-valued bornological vector spaces
Motivated by the theory of L-bornological spaces of M. Abel and A. Sostak over a complete lattice L, and the concept of topological system of S. Vickers, this paper introduces the categories of L-bornological vector spa...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Theory of SSB Representation of Preferences Revised
recently been proposed in a topological vector space, assuming a weaker notion vector space with the so-called inductive linear topology, we derive the algebraic SSB representation on a topol...
Pure mathematics
- 2019 •
- D
Rok uplatnění
D - Stať ve sborníku
A note on the weak topology of spaces C_k(X) of continuous functions
of topological vector spaces E is not a topological property, where a subset B⊂E is called with the problem which topological properties of bounded sets for the space Ck(X) (of continuous real-va...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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