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

Holomorphic functions operating in Hermitian Banach algebras


Author: A. El Kinani
Journal: Proc. Amer. Math. Soc. 111 (1991), 931-939
MSC: Primary 46K05; Secondary 46H30
MathSciNet review: 1055771
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Abstract: The purpose of this paper is to prove that Hermitian algebras are the natural framework for the results of Ky Fan on analytic functions of a proper contraction.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1055771-5
PII: S 0002-9939(1991)1055771-5
Keywords: Hermitian algebra, harmonic functional calculus, Hermitian element, invertible element
Article copyright: © Copyright 1991 American Mathematical Society