Special Talk

Profrssor Anthony To-Ming Lau

From

Department of Mathematical and Statistical Sciences

University of Alberta, Canada

Thailand, July 28, 2008

Title of talk: Fixed point properties and amenability

Abstract: A semigroup is left amenable if there is a positive norm one linear functional on the C*-algebra of bounded complex valued functions which is invariant under left translations. A well known fixed point theorem of Day (1961) asserts that a semigroup S is left amenable if and only if whenever S acts on a non-empty compact convex subset X of a separated locally convex space as affine self maps, there is a common fixed point for S in X.

In this talk I shall discuss some recent results on the relation between amenability and fixed point properties in various settings.

For further information, please contact

Dr. Poom Kumam

Department of Mathematics

Faculty of Science,

KMUTT,

FAX: +81 3 5734 3208

Tel: +662 4708998

Email: poom.kum@kmutt.ac.th and kumampoom@hotmail.com