Abstract. We investigate membership in, and the nature of weak limits of, the class of weakly almost periodic functions having a sequence of translates converging weakly to zero. The charac-teristic function of a Sidon set is in this class and all its weak translation limits are in Co. There exist appropriate functions which fail to have this latter property. Introduction. A bounded continuous function f on a commutative topo-logical semi-group S with values in a Banach space X is called weakly almost periodic (WAP) if the set of all translates of f, H(f)-- {f • : f•(t)-f(r + t), for r, t e S • is weakly relatively compact in (Cb(S, X), II II•). Since their introduction by Eberlein [11] WAP functions have played a rol
We deal with C(n)-almost periodic functions taking values in a Banach space. We give sev-eral proper...
Let G be a locally compact group, and consider the weakly-almost periodic functionals on M(G), the m...
AbstractIn this survey we present an overview of recent work in resolving certain questions that ari...
We give necessary and sufficient conditions for sequences in the space AP(R) of continuous almost pe...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN015974 / BLDSC - British Library D...
Abstract. We prove if there exists a separately continuous action of a topologically right simple se...
AbstractA map φ:X→X induces a linear operator T:C(X)→C(X) by composition: Tf(x)=f°φ(x). T and φ are ...
AbstractA bounded function f from an abelian group G into a complete nonarchimedean valued field K i...
An almost periodic function is a generalization of a periodic function. Almost periodic functions w...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
AbstractA noncompact locally compact group G is minimally weakly almost periodic (w.a.p.) if each w....
AbstractWe address the question as to when a motion or almost-orbit of a strongly continuous semigro...
summary:The paper deals with almost periodic functions which are limits of sequences of continuous p...
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach ...
. The paper deals with almost periodic functions which are limits of sequences of continuous periodi...
We deal with C(n)-almost periodic functions taking values in a Banach space. We give sev-eral proper...
Let G be a locally compact group, and consider the weakly-almost periodic functionals on M(G), the m...
AbstractIn this survey we present an overview of recent work in resolving certain questions that ari...
We give necessary and sufficient conditions for sequences in the space AP(R) of continuous almost pe...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN015974 / BLDSC - British Library D...
Abstract. We prove if there exists a separately continuous action of a topologically right simple se...
AbstractA map φ:X→X induces a linear operator T:C(X)→C(X) by composition: Tf(x)=f°φ(x). T and φ are ...
AbstractA bounded function f from an abelian group G into a complete nonarchimedean valued field K i...
An almost periodic function is a generalization of a periodic function. Almost periodic functions w...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
AbstractA noncompact locally compact group G is minimally weakly almost periodic (w.a.p.) if each w....
AbstractWe address the question as to when a motion or almost-orbit of a strongly continuous semigro...
summary:The paper deals with almost periodic functions which are limits of sequences of continuous p...
In this paper we establish that a strongly continuous group of bounded linear operators on a Banach ...
. The paper deals with almost periodic functions which are limits of sequences of continuous periodi...
We deal with C(n)-almost periodic functions taking values in a Banach space. We give sev-eral proper...
Let G be a locally compact group, and consider the weakly-almost periodic functionals on M(G), the m...
AbstractIn this survey we present an overview of recent work in resolving certain questions that ari...