Completely Positive Hypergroup Actions (Memoirs of the American Mathematical Society)

By Ajit Iqbal Singh

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.

• Format: Paperback
• Language: English
• ISBN: 0821805398
• ISBN13: 9780821805398
• Release Date: July 1997
• Publisher: Amer Mathematical Society
• Weight: 0.33 lbs.
• Dimensions: 0.6" x 5.9" x 9.8"