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Proceedings of the American Mathematical Society

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

 

 

The normed space numerical index of $ C\sp*$-algebras


Author: Tadashi Huruya
Journal: Proc. Amer. Math. Soc. 63 (1977), 289-290
MSC: Primary 46L05
MathSciNet review: 0438138
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Abstract: Given a complex $ {C^\ast}$-algebra X, we prove that the normed space numerical index $ n(X)$ of X is 1 or $ \tfrac{1}{2}$ according as X is commutative or not commutative.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0438138-2
Keywords: $ {C^\ast}$-algebra, numerical index, numerical radius, numerical range
Article copyright: © Copyright 1977 American Mathematical Society