Function representation of a noncommutative uniform algebra

Jarosz, Krzysztof

doi:10.1090/S0002-9939-07-09033-8

Function representation of a noncommutative uniform algebra
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by Krzysztof Jarosz

Proc. Amer. Math. Soc. 136 (2008), 605-611

DOI: https://doi.org/10.1090/S0002-9939-07-09033-8

Published electronically: November 1, 2007

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Abstract:

We construct a Gelfand type representation of a real noncommutative Banach algebra $A$ satisfying $\left \Vert f^{2}\right \Vert =\left \Vert f\right \Vert ^{2}$, for all $f\in A.$

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