Electronic ISBN:  9781470401788 
Product Code:  MEMO/124/593.E 
List Price:  $42.00 
MAA Member Price:  $37.80 
AMS Member Price:  $25.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 124; 1996; 68 ppMSC: Primary 43; 46; 47;
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.
ReadershipGraduate students and research mathematicians interested in abstract harmonic analysis, functional analysis, and operator theory.

Table of Contents

Chapters

1. Presentations

2. Complete positivity and other properties for presentations and opresentations

3. Presentations of hypergroups and associated actions

4. Some concrete presentations and actions of hypergroups


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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.

Chapters

1. Presentations

2. Complete positivity and other properties for presentations and opresentations

3. Presentations of hypergroups and associated actions

4. Some concrete presentations and actions of hypergroups