Electronic Resource
Springer
Communications in mathematical physics
85 (1982), S. 143-154
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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 ϱ n and {ϱ n } is a sequence of states of aC*-algebra $$\mathfrak{A}$$ converging in norm to ϱ0. States of $$\mathfrak{A}$$ of a given type are shown to form a norm-closed convex subset of the (norm) dual of $$\mathfrak{A}$$ . The pure states of $$\mathfrak{A}$$ form a norm-closed subset of the dual.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02029139
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