Density and invariant means in left amenable locally compact topological groups

摘要

Amenable groups have a close relationship with various mathematical concepts. In this paper we consider the correlation between the amenability and semigroup compactification of a locally compact group. It is observed that in the case that G is an amenable group, there are some wonderful properties for a(Luc). Motivated by the definition provided by N. Hindman and D. Strauss, we defined the set LIM0(G) and other sets such as Phi(G) and Delta* (G) to achieve the desired results and we considered the correlation between the amenability and semigroup compactification of a locally compact group. (C) 2017 Elsevier B.V. All rights reserved.