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Proceedings of the American Mathematical Society

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

 

 

A note on two-sided ideals in $ C\sp*$-algebras


Author: John Bunce
Journal: Proc. Amer. Math. Soc. 28 (1971), 635
MSC: Primary 46.65
DOI: https://doi.org/10.1090/S0002-9939-1971-0276780-7
MathSciNet review: 0276780
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Abstract: An elementary proof is given of the fact that $ {(I + J)^ + } = {I^ + } + {J^ + }$ for $ I$ and $ J$ closed two-sided ideals in a $ {C^ \ast }$-algebra.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0276780-7
Article copyright: © Copyright 1971 American Mathematical Society