Nonlinear submeans on semigroups

Anthony To-Ming Lau, Wataru Takahashi

DOI: http://dx.doi.org/10.12775/TMNA.2003.044

Abstract


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.

Keywords


Invariant means; submean; left reversible semigroup; amenable semigroup; nonlinear ergodic and fixed point theorems

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