Uniform Distribution and the Mean Ergodic Theorem.
Uniform semigroups and fixed point properties.
Uniformly Amenable Discrete Groups.
Uniformly continuous functionals on Banach algebras
Uniformly cyclic vectors
A group acting on a measure space (X,β,λ) may or may not admit a cyclic vector in . This can occur when the acting group is as big as the group of all measure-preserving transformations. But it does not occur, even though there is no cardinality obstruction to it, for the regular action of a group on itself. The connection of cyclic vectors to the uniqueness of invariant means is also discussed.
Universal mapping properties of semigroup compactifications.