Limits of states |
| |
| Authors: | Richard V Kadison |
| |
| Institution: | (1) Department of Mathematics, University of Pennsylvania, 19104 Philadelphia, PA |
| |
| Abstract: | Estimates for vector representations of states are used to prove that {C
n
C
0} is strong-operator convergent toC
0, whereC
n is the universal central support of 
n
and {
n
} is a sequence of states of aC*-algebra
converging in norm to 0. States of
of a given type are shown to form a norm-closed convex subset of the (norm) dual of
. The pure states of
form a norm-closed subset of the dual.With partial support of the National Science Foundation (USA) |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
