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45 596 (0,69s)

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Standard homogeneous C*-algebras as compact quantum metric spaces

Given a compact metric space X and a unital C*-algebra A, we introduce a family are able to extend convergence of compact metric spaces in the Gromov–Hausdorff on the associated compact <...

Pure mathematics

  • 2020
  • C
  • Link
Result

Approximation and Schur properties for Lipschitz free spaces over compact metric spaces

We prove that for any separable Banach space X, there exists a compact metric space which is homeomorphic to the Cantor space and whose Lipschitz-free space of a compact metric <...

BA - Obecná matematika

  • 2016
  • Jx
Result

Compact spaces with finer metric topology and Banach spaces.

We discuss the relationships between various classes of topological spaces (e.g. fragmented spaces) and absolute neighbourhood retracts and the Radon-Nikodym property....

BA - Obecná matematika

  • 2001
  • C
Result

Is every metric on the Cantor set sigma-monotone?

A definition of a sigma-monotone metric space is given. A question whether every null-dimensional compact dense in itself metric space is sigma-monotone....

BA - Obecná matematika

  • 2008
  • Jx
Result

Large null sets in metric spaces

It is proved that every locally compact sigma compact metric space with Borel measure connected with metric contains sets of measure zero which are extremally large with respect to cardinality, Hausdorff d...

BA - Obecná matematika

  • 2005
  • Jx
Result

Distributional chaos on compact metric spaces via specification properties

It is shown that a continuous function on a compact metric space exhibits distributional chaos if the function has either a weaker form of the specification property or the generalized specification property....

BA - Obecná matematika

  • 2000
  • Jx
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

Approximation properties in Lipschitz-free spaces over groups

We study Lipschitz-free spaces over compact and uniformly discrete metric spaces enjoying certain high regularity properties - having group structure with left-invariant metric. Using methods of harmonic a...

Pure mathematics

  • 2022
  • Jimp
  • Link
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

Hausdorff dimension of metric spaces and Lipschitz maps onto cubes

We prove that a compact metric space (ormore generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than k can always be mapped onto a k-dimensional cube by a Lips...

BA - Obecná matematika

  • 2014
  • Jx
  • Link
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