We construct a crossed product Banach algebra from a Banach algebra dynamical system
$(A, G,\alpha) $ and a given uniformly bounded class $ R $ of continuous covariant Banach …

Let G be a Polish locally compact group acting on a Polish space XX with a G-invariant
probability measure μ μ. We factorize the integral with respect to μ μ in terms of the integrals …

Consider a locally compact quantum group G with a closed classical abelian subgroup Γ
equipped with a 2-cocycle Ψ: Γ^× Γ^→ C. We study in detail the associated Rieffel …

We give an overview of normality and conormality properties of pre-ordered Banach spaces.
For pre-ordered Banach spaces XX and YY with closed cones we investigate normality of B …

If X is a compact Hausdorff space and σ is a homeomorphism of X, then a Banach algebra ℓ
1 (Σ) of crossed product type is naturally associated with this topological dynamical system …

We prove that the crossed product Banach algebra ℓ^ 1 (G, A; α) ℓ 1 (G, A; α) that is
associated with a\mathrm C^* C∗-dynamical system (A, G, α)(A, G, α) is amenable if G is a …

This paper gives the concept of the reduced pro-Banach algebra crossed product
associated with inversely pro-Banach algebra dynamical system, and shows that the …

A version of the classical Klee–Andô Theorem states the following: For every Banach space
X, ordered by a closed generating cone C⊆ X, there exists some α> 0 so that, for every x∈ …

Many dynamical systems from nature must comply with certain 'positivity constraints' to make
sense. For instance, in population dynamics negative populations do not make sense …

Motivated by quantum mechanics, amongst others, where there are many examples of
group representation in Hilbert spaces, strongly continuous unitary representations of locally …