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Characterising weakly almost periodic functionals on the measure algebra

Matthew Daws (2011)

Studia Mathematica

Let G be a locally compact group, and consider the weakly almost periodic functionals on M(G), the measure algebra of G, denoted by WAP(M(G)). This is a C*-subalgebra of the commutative C*-algebra M(G)*, and so has character space, say $K_{W A P}$ . In this paper, we investigate properties of $K_{W A P}$ . We present a short proof that $K_{W A P}$ can naturally be turned into a semigroup whose product is separately continuous; at the Banach algebra level, this product is simply the natural one induced by the Arens products. This...

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Characterising weakly almost periodic functionals on the measure algebra

Characterizations of Almost Periodic Strongly Continuous Groupsand Semigroups.

Characterizations of those Ideals in L1 (R) which can be Synthesized.

Characterizations of vector-valued weakly almost periodic functions.

Compact convolution operators between $L_{p} (G)$ -spaces

Compact multipliers. (Multiplicateurs compacts.)

Compactifications, Hartman functions and (weak) almost periodicity [Book]

Compactness criteria for semigroups, a note on a preceding paper.

Comparisons of Sidon and $I_{0}$ sets

Concrete methods for summing almost periodic functions and their relation to uniform distribution of semigroup actions

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