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Memoirs of the American Mathematical Society
1996; 68 pp; softcover
List Price: US$40
Individual Members: US$24
Institutional Members: US$32
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.
Graduate students and research mathematicians interested in abstract harmonic analysis, functional analysis, and operator theory.
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