25 research outputs found
Reflexive representability and stable metrics
Full text linkIt is well-known that a topological group can be represented as a group of
isometries of a reflexive Banach space if and only if its topology is induced
by weakly almost periodic functions (see
\cite{Shtern:CompactSemitopologicalSemigroups},
\cite{Megrelishvili:OperatorTopologies} and
\cite{Megrelishvili:TopologicalTransformations}). We show that for a metrisable
group this is equivalent to the property that its metric is uniformly
equivalent to a stable metric in the sense of Krivine and Maurey (see
\cite{Krivine-Maurey:EspacesDeBanachStables}). This result is used to give a
partial negative answer to a problem of Megrelishvili
Are there any correlations between the length of “ephedrone-abuse” and severity of depression in patients with “ephedrone”-induced Parkinsonism?/INS;
No full textS27 Peroxidation processes in mitochondria and microsome of human prostate tissues at different pathology
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On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space
No full textWeak and strong continuity of representations of topologically pseudocomplete groups in locally convex spaces
No full textCriteria for weak and strong continuity of representations of topological groups in Banach spaces
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