Bimeasure algebras on locally compact groups |
| |
Authors: | John E Gilbert Takashi Ito Bertram M Schreiber |
| |
Institution: | 1. Department of Mathematics, Wayne State University, Detroit, Michigan 48202 USA;2. Department of Mathematics, Musashi Institute of Technology, Tamazutsumi, Setagaya, Tokyo, Japan |
| |
Abstract: | For locally compact groups G and H, let BM(G, H) denote the Banach space of bounded bilinear forms on C0(G) × C0(H). Using a consequence of the fundamental inequality of A. Grothendieck. a multiplication and an adjoint operation are introduced on BM(G, H) which generalize the convolution structure of M(G × H) and which make BM(G, H) into a KG2-Banach -algebra, where KG is Grothendieck's universal constant. Various topics relating to the ideal structure of BM(G, H) and the lifting of unitary representations of G × H to -representations of BM(G, H) are investigated. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|