Operator ultra-amenability |
| |
| Authors: | Brian E Forrest Volker Runde Kyle Schlitt |
| |
| Institution: | 1.Department of Pure Mathematics,University of Waterloo,Waterloo,Canada;2.Department of Mathematical and Statistical Sciences,University of Alberta,Edmonton,Canada |
| |
| Abstract: | Extending M. Daws’ definition of ultra-amenable Banach algebras, we introduce the notion of operator ultra-amenability for completely contractive Banach algebras. For a locally compact group G, we show that the operator ultra-amenability of A(G) imposes severe restrictions on G. In particular, it forces G to be a discrete, amenable group with no infinite abelian subgroups. For various classes of such groups, this means that G is finite. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
