1Department of Mathematics University of Tartu 51014 Tartu, Estonia 2Department of Mathematics Southern Illinois University Edwardsville Edwardsville, IL 62026, U.S.A.
Studia Mathematica, Tome 162 (2004) no. 3, pp. 213-218
We show that a real Banach algebra $A$ such that $\Vert
a^{2}\Vert =\Vert a\Vert^{2}$ for $a\in A$ is a
subalgebra of the algebra $C_{\mathbb{H}}( X) $ of continuous
quaternion-valued functions on a compact set $X$.
Keywords:
real banach algebra vert vert vert vert subalgebra algebra mathbb continuous quaternion valued functions compact set nbsp
Affiliations des auteurs :
Mati Abel 
1
;
Krzysztof Jarosz 
2
1
Department of Mathematics University of Tartu 51014 Tartu, Estonia
2
Department of Mathematics Southern Illinois University Edwardsville Edwardsville, IL 62026, U.S.A.
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title = {Noncommutative uniform algebras},
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Mati Abel; Krzysztof Jarosz. Noncommutative uniform algebras. Studia Mathematica, Tome 162 (2004) no. 3, pp. 213-218. doi: 10.4064/sm162-3-2