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Inner characterizations of weakly compactly generated Banach spaces and their relatives
We give characterizations of weakly compactly generated spaces, their subspaces, Vašák spaces, weakly Lindelöf determined spaces as well as several other classes of Banach spaces...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on biorthogonal systems in weakly compactly generated Banach spaces
Using separable projectional resolutions of the identity, we provide a different proof of a result of Argyros and Mercourakis on the behavior of fundamental biorthogonal systems in weakly compactly generated (in short, WCG)...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
WCG spaces and their subspaces grasped by projectional skeletons
Weakly compactly generated Banach spaces and their subspaces are characterized by the presence of projectional skeletons with some additional properties. We work with real spaces. However the presented sta...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
An Asplund space with norming Markuševič basis that is not weakly compactly generated
We construct an Asplund Banach space X with a norming Markuševič basis such that X is not weakly compactly generated. This solves a long-standing open problem from the early nineties, originally due to Gilles Godef...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A characterization of subspaces of weakly compactly generated Banach spaces
It is proved that a Banach space X is a subspace of a weakly compactly generated Banach space if and only if, for every .epsilon. > 0, X can be covered by a countable collection of bounded closed convex sy...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Weak compactness and sigma-Asplund generated Banach spaces
In the framework of weakly Lindelöf determined Banach spaces, subspaces of weakly compactly generated spaces are the same as sigma-Asplund generated spaces. To prove this, we stu...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Rich families and projectional skeletons in Asplund WCG spaces
We show a way of constructing projectional skeletons using the concept of rich families in Banach spaces which admit a projectional generator. Our next result is that a Banach space X is Asplund and weakly comp...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On Equivalent Characterizations of weakly compactly generated Banach spaces.
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BA - Obecná matematika
- 1994 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the coincidence of Pettis and McShane integrals and Hilbert generated spaces
A Banach space X is called weakly compactly generated if it contains a weakly compact set which is linearly dense in it. X is called Hilbert generated provided that there are a Hilbert space
BA - Obecná matematika
- 2010 •
- O
Rok uplatnění
O - Ostatní výsledky
On projectional skeletons in Vasak spaces
simple as the proof given by W. Kubis (2009) in case of weakly compactly generated spaces.We provide an alternative proof of the theorem saying that any Vasak (or, weakly countably determined) Banach ...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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