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Amenability and fixed point properties of semitopological semigroups of nonexpansive mappings in Banach spaces
DownloadFall 2016
In this thesis we are interested in fixed point properties of representations of semitopological semigroups of nonexpansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Fall 2015
A discrete flow (S,X) is a semigroup S acting on a set X where both S, and X are equipped with the discrete topology. Amenability of semigroups is a topic that explores the existence of measures that are invariant under the semigroup multiplication. The goal of this thesis is to generalize these...

Spring 2013
In this thesis, we establish some ergodic theorems related to Ap(G), the FigàTalamancaHerz algebra of a locally compact group G. This thesis is divided in two main portions. The first part is primarily concerned with the study of ergodic sequences in Ap(G) and with a newly introduced notion of...