Li-Yorke chaos in weak topology of the n-dimensional linear systems

P Zhu, Q Yang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
The paper deals with the complicated dynamics of the linear systems on the n-dimensional
Euclidean space with the weak topology. A weak topology defined by a family of semi-norms …

[HTML][HTML] Hilbert generated Banach spaces need not have a norming Markushevich basis

P Hájek - Advances in Mathematics, 2019 - Elsevier
Hilbert generated Banach spaces need not have a norming Markushevich basis - ScienceDirect
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Compactness in Banach space theory-selected problems

A Avilés, OFK Kalenda - arXiv preprint arXiv:1005.4303, 2010 - arxiv.org
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 …

[PDF][PDF] Fiber orders and compact spaces of uncountable weight

A Avilés, OFK Kalenda - arXiv preprint arXiv:0903.0657, 2009 - arxiv.org
arXiv:0903.0657v1 [math.GN] 3 Mar 2009 Page 1 arXiv:0903.0657v1 [math.GN] 3 Mar 2009
FIBER ORDERS AND COMPACT SPACES OF UNCOUNTABLE WEIGHT ANTONIO AVILÉS …

Representing groups against all odds

M Gheysens - 2017 - infoscience.epfl.ch
We investigate how probability tools can be useful to study representations of non-amenable
groups. A suitable notion of" probabilistic subgroup" is proposed for locally compact groups …

Notions of compactness for special subsets of ℝI and some weak forms of the axiom of choice

M Morillon - The Journal of Symbolic Logic, 2010 - cambridge.org
We work in set-theory without choice ZF. A set is countable if it is finite or equipotent with ℕ.
Given a closed subset F of [0, 1] I which is a bounded subset of ℓ1 (I)(resp. such that F⊆ c0 …

Universal objects and associations between classes of Banach spaces and classes of compact spaces

P Koszmider - arXiv preprint arXiv:1209.4294, 2012 - arxiv.org
In the context of classical associations between classes of Banach spaces and classes of
compact Hausdorff spaces we survey known results and open questions concerning the …

On automorphisms of the Banach space

P Koszmider, C Rodríguez-Porras - arXiv preprint arXiv:1501.03466, 2015 - arxiv.org
We investigate Banach space automorphisms $ T:\ell_\infty/c_0\rightarrow\ell_\infty/c_0 $
focusing on the possibility of representing their fragments of the form $$ T_ {B, A}:\ell_\infty …

Uniform Eberlein spaces and the finite axiom of choice

M Morillon - arXiv preprint arXiv:0804.0154, 2008 - arxiv.org
We work in set-theory without choice $\ZF $. Given a closed subset $ F $ of $[0, 1]^ I $ which
is a bounded subset of $\ell^ 1 (I) $({\em resp.} such that $ F\subseteq\ell^ 0 (I) $), we show …

Compact topological spaces inspired by combinatorial constructions

S Al Mahrouqi - 2013 - ueaeprints.uea.ac.uk
Due to Mr owka [24], polyadic spaces are compact Hausdor spaces that are continuous
images of some power of the one point compactication of a discrete space . It turns out …