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The concepts of semihypergroups and hypergroups were first introduced by C. Dunkl, I. Jewett and R. Spector independently around the year 1972. Till then, a variety of research has been carried out on different areas of hypergroups. However, no extensive study is found so far on the more general...
Let H be a hypergroup with left Haar measure. The amenability of H can be characterized by the existence of nets of positive, norm one functions in L^1(H) which tend to left invariance in any of several ways. In this thesis we present a characterization of the amenability of H using...
This thesis is dedicated to the study of some geometric properties on Banach spaces associated to hypergroups. This thesis contains three major parts. The purpose of the first part is to initiate a systematic approach to the study of the class of invariant complemented subspaces of L∞(K), and...