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- 2Non-expansive mappings
- 1Abstract Harmonic Analysis
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Amenability and fixed point properties of semi-topological semigroups of non-expansive mappings in Banach spaces
DownloadFall 2016
In this thesis we are interested in fixed point properties of representations of semi-topological semigroups of non-expansive 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...
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Amenability and fixed point properties of semi-topological semigroups of non-expansive mappings in Banach spaces
DownloadFall 2016
In this thesis we are interested in fixed point properties of representations of semi-topological semigroups of non-expansive 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...
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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...
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Fall 2017
In this thesis, we prove the non-amenability of the Banach algebra B(E), the banach algebra of all operators on an infinite dimensional Banach space E, where, for p in the interval [1,infinity), E is an infinite dimensional Lp-space in the sense of Lindenstrauss and Pelczynski. In addition, we...
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Fall 2011
Left amenability, in it's modern form, was introduced by M. M. Day, in the 1940s. Amenability of groups and semigroups turned out to be quite common, and many interesting results are known, which motivated the introduction of extreme left amenability by Granirer in the 1960s. Extreme amenability...