Amenable locally compact semigroups and a fixed point property


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	Amenable locally compact semigroups and a fixed point property


	Fixed Point Theory, Volume 19, No. 1, 2018, 3-12, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.01 Authors: Fatemeh Akhtari and Rasoul Nasr-Isfahani Abstract: For a locally compact semigroup S, we study a general fixed point property in terms of Banach left S-modules. We then use this property to give our main result which is a new characterization for left amenability of a large class of locally compact semigroups; finally, we investigate several examples which lead us to the conjecture that the main result remains true for all locally compact semigroups. Key Words and Phrases: Banach left S-module, foundation semigroup, left amenability, left fixed point, left invariant mean, locally compact semigroup, weak^-operator topology. 2010 Mathematics Subject Classification:* 20M30, 28C10, 43A07, 43A10, 46H05, 47H10. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents