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Completely Positive Hypergroup Actions

Ajit Iqbal Singh University of Delhi
Available Formats:
Electronic ISBN: 978-1-4704-0178-8
Product Code: MEMO/124/593.E
List Price: $42.00 MAA Member Price:$37.80
AMS Member Price: $25.20 Click above image for expanded view Completely Positive Hypergroup Actions Ajit Iqbal Singh University of Delhi Available Formats:  Electronic ISBN: 978-1-4704-0178-8 Product Code: MEMO/124/593.E  List Price:$42.00 MAA Member Price: $37.80 AMS Member Price:$25.20
• Book Details

Memoirs of the American Mathematical Society
Volume: 1241996; 68 pp
MSC: 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.

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
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Volume: 1241996; 68 pp
MSC: 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.