Korovkin-type theorems for almost periodic measures
Some Korovkin-type theorems for spaces containing almost periodic measures are presented. We prove that some sets of almost periodic measures are test sets for some particular nets of positive linear operators on spaces containing almost periodic measures. We consider spaces which contain almost periodic measures defined by densities and measures which can be represented as the convolution between an arbitrary measure with finite support (or an arbitrary bounded measure) and a fixed almost periodic...
Kriterien für Fastperiodizität.
L'espace des fonctions presque-périodiques dont le spectre est contenu dans un ensemble compact dénombrable a la propriété de Schur
Minimal and distal functions on semidirect products of groups II.
Minimal and distal functions on semidirect products of groups
Minimal and distal functions on some non-Abelian groups.
Moore groups have the WS-property.
Multiple disjointness and invariant measures on minimal distal flows
We examine multiple disjointness of minimal flows, that is, we find conditions under which the product of a collection of minimal flows is itself minimal. Our main theorem states that, for a collection of minimal flows with a common phase group, assuming each flow satisfies certain structural and algebraic conditions, the product is minimal if and only if is minimal, where is the maximal equicontinuous factor of . Most importantly, this result holds when each is distal. When the phase...
Multiplier semigroups and weakly almost periodic measures on foundation semigroups.
New algebras of functions on topological groups arising from G-spaces
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...
On a class of weakly almost periodic mappings.
On almost even arithmetical functions via orthonormal systems on Vilenkin groups
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On compactifying semigroups.
On extending continuous functions on dense subsemigroups.
On functional equations associated with characters of unitary representations of groups.
On functional polynomials spanned by characters of unitary representations. (Summary).
On functions with scattered spectra on lea groups
On group topologies and idempotents in weak almost periodic compactifications.