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111 130 (0,176s)

Result

Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

for the precompactness of sets in Banach function spaces to the setting of quasi-Banach function spaces. The second is to extend the criterion for the precompactness of sets in the Lebesgue spaces

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Spaces which are generated by discrete sets

Continuing the study initiated by Dow, Tkachenko, Tkachuk and Wilson, we prove that countably compact countably tight spaces, normed linear spaces in the weak topology and function spaces over a-compact

BA - Obecná matematika

  • 2004
  • Jx
Result

Note on Countable Unions of Corson Countably Compact Spaces

We show that a compact space K has a dense set of G-delta points if it can be covered by countably many Corson countably compact spaces. If these Corson countably compact spaces may be ch...

BA - Obecná matematika

  • 2004
  • Jx
Result

Weak compactness and sigma-Asplund generated Banach spaces

, differentiability, and of weak compactness. As a consequence, we provide a functional-analytic proof of a result of Arvanitakis: A compact space is Eberlein if (and onlyIn the framework of weakly Lindelöf determined Banac...

BA - Obecná matematika

  • 2007
  • Jx
Result

Borel sets with sigma-compact sections for nonseparable spaces

Every Borel $Esu Xtimes Y$, where $X$ is complete metric and $Y$ is Polish, can be covered by countably many extended Borel sets with compact sections if its sections are $sigma$-compact....

BA - Obecná matematika

  • 2008
  • Jx
Result

Central limit theorem for random measures generated by stationary processes of compact sets

Random measures derived from a stationary process of compact subsets of the Euclidean space are introduced and the corresponding central limit theorem is formulated....

BA - Obecná matematika

  • 2003
  • Jx
Result

Point simpliciality in Choquet theory on nonmetrizable compact spaces

Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set wer...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

Uniform quasi components, thin spaces and compact separation.

His proved in particular that quasicomponents can be separated by compact sets in UA-spaces.

BA - Obecná matematika

  • 2002
  • Jx
Result

Weakly compact sets and smooth norms in Banach spaces.

Two smoothness characterisations of weakly compact sets in Banach spaces are given. One that involves pointwise lower semicontinuous norms and one that involves projectional resolutions of identity....

BA - Obecná matematika

  • 2002
  • Jx
Result

Remarks on Compact Sets in Spaces of Vector Functions.

In this paper some conditions for the relative compactness of subsets of vector functions are given that are analogical to the conditions appearing in the Arzela-Ascoli theorem....

BA - Obecná matematika

  • 2001
  • D
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