A fixed point properties characterizing inner amenable locally compact semigroups

A fixed point property characterizing inner amenable locally compact semigroups

B. Mohammadzadeh and R. Nasr-Isfahani
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 3 (2009), 525-532.

Abstract
For a locally compact semigroup S, we study a fixed point property in terms of left Banach
S-modules; we also use this property to give a characterization for inner amenability of S.

Primary Subjects: 43A07, 43A10, 43A20, 46H05

Keywords: Fixed point property; inner amenability; inner invariant mean; left Banach modules;
locally compact semigroup; weak∗ operator topology