Memoirs of the American Mathematical Society 1996; 68 pp; softcover Volume: 124 ISBN10: 0821805398 ISBN13: 9780821805398 List Price: US$42 Individual Members: US$25.20 Institutional Members: US$33.60 Order Code: MEMO/124/593
 It is now well known that the measure algebra \(M(G)\) of a locally compact group can be regarded as a subalgebra of the operator algebra \(B(B(L^2(G)))\) of the operator algebra \(B(L^2(G))\) of the Hilbert space \(L^2(G)\). In this memoir, the author studies the situation in hypergroups and finds that, in general, the analogous map for them is neither an isometry nor a homomorphism. However, it is completely positive and completely bounded in certain ways. This work presents the related general theory and special examples. Readership Graduate students and research mathematicians interested in abstract harmonic analysis, functional analysis, and operator theory. Table of Contents  Presentations
 Complete positivity and other properties for presentations and opresentations
 Presentations of hypergroups and associated actions
 Some concrete presentations and actions of hypergroups
 References
