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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Pure states with the restriction property


Author: Bruce A. Barnes
Journal: Proc. Amer. Math. Soc. 33 (1972), 491-494
MSC: Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1972-0295089-X
MathSciNet review: 0295089
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Abstract: Conditions are given which imply that a pure state of a $ {B^\ast}$-algebra A restricts to a pure state of some maximal commutative $ ^\ast$-subalgebra of A.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0295089-X
Keywords: $ {B^\ast}$-algebra, pure state, maximal commutative $ ^\ast$-subalgebra
Article copyright: © Copyright 1972 American Mathematical Society