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

Singh, Ajit Iqbal

Softcover

ISBN 10: 0821805398 ISBN 13: 9780821805398

Publisher: American Mathematical Society, 1997

Synopsis

This text is intended for researchers concerned with calculus and mathematical analysis, and covers completely positive hypergroup actions.

About this title

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1997
• Language: English
• ISBN 10: 0821805398
• ISBN 13: 9780821805398
• Binding: Paperback
• Number of pages: 68