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On bisequentiality and spaces of strictly decreasing functions on trees
We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of [2]. Moreover we study the relation between these spaces and the classes of Corson, ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Compactness in Banach space theory - selected problems
We list a number of problems in several topics related to compactness in nonseparable Banach spaces. Namely, about the Hilbertian ball in its weak topology, spaces of continuous functions on Eberlein compacta, WCG Banach spaces, Val...
BA - Obecná matematika
- 2010 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the coincidence of Pettis and McShane integrals and Hilbert generated spaces
. A compact space is called Eberlein (uniform Eberlein) if it can be continuously injected known facts that a compact space K is Eberlein (uniform Eberlein)if and onlyA Banach sp...
BA - Obecná matematika
- 2010 •
- O
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O - Ostatní výsledky
The structure of uniformly Gateaux smooth Banach spaces.
It is shown that a Banach space X admits an equivalent uniformly Gďteaux smooth norm if and only if the dual ball of X* in its weak star topology is a uniform Eberlein compact....
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Characterization of (semi-)Eberlein compacta using retractional skeletons
that a continuous image of an Eberlein compact is Eberlein as well as new stability results for the class of semi-Eberlein compacta, solving in particular an open problem posedWe study retractions associated to su...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Sigma-finite dual dentability indices
A characterization of Banach spaces admitting uniformly Gateaux smooth norms in terms of sigma-finite dual dentability indices is given. Some applications in the area of weak compactness are discussed. We also study sigma-locally uniformly r...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
When is a locally convex space Eberlein-Grothendieck?
) Eberlein-Grothendieck (see Definitions 1.2 and 3.1). The following results obtained in our paper play a key role: for every barrelled lcs E, the space (E, w) is Eberlein-Grothendieck (linearly Eberlein-Grothendieck) if an...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Small semi-Eberlein compacta and inverse limits
We study properties of semi-Eberlein compacta related to inverse limits. We concentrate our investigation on an interesting subclass of small semi-Eberlein compacta whose elements are obtained as inverse limits whose bonding maps ar...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A characterization of subspaces of weakly compactly generated Banach spaces
functional-analytic proof of the known result that a continuous image of an Eberlein compact is Eberlein is given as a corollary....
BA - Obecná matematika
- 2004 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Hilbert generated Banach spaces need not have a norming Markushevich basis
We construct a zero dimensional uniform Eberlein compact space K such that C(K) is a Hilbert generated Banach space which does not admit any norming Markushevich basis. This solves a classical problem from the seventies. (C...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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