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ISSN 1088-6826(e) ISSN 0002-9939(p)

Function representation of a noncommutative uniform algebra

Author(s): Krzysztof Jarosz
Journal: Proc. Amer. Math. Soc. 136 (2008), 605-611.
MSC (2000): Primary 46H20, 46H05
Posted: November 1, 2007
MathSciNet review: 2358502
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Abstract: We construct a Gelfand type representation of a real noncommutative Banach algebra satisfying $\left\Vert f^{2}\right\Vert =\left\Vert f\right\Vert ^{2}$ , for all $f\in A.$

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Additional Information:

Krzysztof Jarosz
Affiliation: Department of Mathematics and Statistics, Southern Illinois University, Edwardsville, Illinois 62026-1653
Email: kjarosz@siue.edu

DOI: 10.1090/S0002-9939-07-09033-8
PII: S 0002-9939(07)09033-8
Keywords: Uniform algebra, function algebra, Banach algebra, quaternions
Received by editor(s): October 31, 2005
Received by editor(s) in revised form: November 24, 2006
Posted: November 1, 2007
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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