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Let (X, τ) be a topological space and let ρ be a metric on X. Then one occasionally encounters the following situation: For each ε > 0 and a non-empty subset A ⊂ X, there exists a τ-open subset U of X such that U ∩ A = ϕ and ρ-diameter of U ∩ A is less than ∈. If this is the case then (X, \gt) is said to be fragmented by \gr. For instance a weakly compact subset of a Banach space with the weak...
In this paper we review some known characterizations of the weak mixing property for operators on topological vector spaces, extend some of them, and obtain new ones.
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