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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Left centralizers of an $ H\sp{\ast} $-algebra

Authors: Gregory F. Bachelis and James W. McCoy
Journal: Proc. Amer. Math. Soc. 43 (1974), 106-110
MSC: Primary 46K15
MathSciNet review: 0333745
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Abstract: An explicit characterization is given of the left centralizers of a proper $ {H^\ast }$-algebra $ A$. Each left centralizer is seen to correspond to a bounded family of bounded operators, where each operator acts on a Hilbert space associated with a minimal-closed two-sided ideal of $ A$.

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PII: S 0002-9939(1974)0333745-7
Article copyright: © Copyright 1974 American Mathematical Society

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