Completely Positive Hypergroup Actions
Completely Positive Hypergroup Actions By Ajit Iqbal Singh
1997 | 68 Pages | ISBN: 0821805398 | PDF | 9 MB
1997 | 68 Pages | ISBN: 0821805398 | PDF | 9 MB
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.