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Proceedings of the American Mathematical Society

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

 

 

The strict dual of $ B\sp*$-algebras


Author: John W. Davenport
Journal: Proc. Amer. Math. Soc. 65 (1977), 309-312
MSC: Primary 46K05; Secondary 46E99
MathSciNet review: 0632114
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Abstract: If A is a closed two-sided ideal in the $ {B^\ast}$-algebra X, then $ {(X,{\beta _A})^\ast}$ with the strong topology is isomorphic to $ {A^\ast}$, where $ {\beta _A}$ is the strict topology on X.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0632114-2
Keywords: $ {B^\ast}$-algebra, strict topology
Article copyright: © Copyright 1977 American Mathematical Society