Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Hereditarily non-sensitive dynamical systems and linear representations

E. Glasner;  M. Megrelishvili — 2006

Colloquium Mathematicae

For an arbitrary topological group G any compact G-dynamical system (G,X) can be linearly G-represented as a weak*-compact subset of a dual Banach space V*. As was shown in [45] the Banach space V can be chosen to be reflexive iff the metric system (G,X) is weakly almost periodic (WAP). In the present paper we study the wider class of compact G-systems which can be linearly represented as a weak*-compact subset of a dual Banach space with the Radon-Nikodým property. We call such a system a Radon-Nikodým...

New algebras of functions on topological groups arising from G-spaces

E. Glasner;  M. Megrelishvili — 2008

Fundamenta Mathematicae

For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP(G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urysohn space of diameter 1, we show that SUC(G) is trivial. We introduce the notion of fixed point on a class...

Page 1

Download Results (CSV)