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106 870 (0,16s)

Result

Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras

results concerning scattered C⁎-algebras, in a manner parallel to the commutative case of scattered compact or locally compact Hausdorff spaces and superatomic Boolean algebrasWe analyze the sequ...

Pure mathematics

  • 2018
  • Jimp
  • Link
Result

A characterization of X for which spaces C_p(X) are distinguished and applications

the following results: [1)] If is a Čech-complete (in particular, compact) space such that is distinguished, then is scattered. [2)] For every separable compact space of the Isbell–Mrówka type , the s...

Pure mathematics

  • 2021
  • Jost
  • Link
Result

The Ascoli property for function spaces

. The class of Ascoli spaces X, i.e. spaces X for which any compact subset K of Ck(X of Morishita: If for a Čech-complete space X the space Cp(X) is Ascoli, then X is scattered. If X is scatte...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Distinguished Cp(X) spaces

, and (ii) for a Corson compact space X, the space Cp(X) is distinguished if and only if X is scattered and Eberlein compact.We continue our initial study of Cp(X) spaces that are distinguished, e...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

On products with the unit interval

We investigate the question which compact convex sets are homeomorphic to their product with the unit interval. We prove it in particular for the space of probability measures on any infinite scattered compact ...

BA - Obecná matematika

  • 2008
  • Jx
Result

Convex locally compact extensions of Lebesgue spaces and their applications

Convex locally compact extensions of Lebesgue spaces and their applications...

BA - Obecná matematika

  • 1999
  • D
Result

Vietoris hyperspaces over scattered Priestley spaces

We study Vietoris hyperspaces of closed and final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is Skula if its topology is generated by differences of open sets of another topolog...

Pure mathematics

  • 2022
  • Jimp
  • Link
Result

Means on scattered compacta

We prove that a separable Hausdor_ topological space X containing a cocountable subset homeomorphic to [0, ?1] admits no separately continuous mean operation and no diagonally continuous n-mean for n 2....

BA - Obecná matematika

  • 2014
  • Jx
  • Link
Result

On Asplund spaces Ck(X) and w∗-binormality

) says that for a compact space X, the Banach space C(X) is Asplund iff X is scattered. In our paper we extend this result to the space of continuous real-valued of non-compact Tychonoff space...

Pure mathematics

  • 2023
  • Jimp
  • Link
Result

omega(omega)-base and infinite-dimensional compact sets in locally convex spaces

A locally convex space (lcs) E is said to have an ωω-base if E has hand, the countable-dimensional vector space φ endowed with the finest locally. It turns out that φ is a unique infinite-dimensional locally

Pure mathematics

  • 2022
  • Jimp
  • Link
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