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 $\frak S$, we study a fixed point property in terms of left Banach $\frak S$-modules; we also use this property to give a characterization for inner amenability of $\frak S$.
Primary Subjects: 43A07, 43A10, 43A20, 46H05
Keywords: Fixed point property; inner amenability; inner invariant mean; left Banach modules; locally compact semigroup; weak$^*$ operator topology
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1251832377
Zentralblatt MATH identifier:
05612296
Bulletin of the Belgian Mathematical Society - Simon Stevin
