Nonlinear submeans on semigroups

Anthony To‐Ming Lau, Wataru Takahashi · Topological Methods in Nonlinear Analysis · 2003

The purpose of this paper is to study some algebraic structure of submeans on certain spaces $X$ of bounded real valued functions on a semigroup and to find local conditions on $X$ in terms of submean for the existence of a left invariant mean.

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