Geodesic
Boundaries For Real Banach Algebras
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 42-49

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a commutative real Banach algebra with unit, and MA its maximal ideal space. The existence of the Silov boundary SA for A was established in [5] by resorting to the complexification of A. We give here an intrinsic proof of this result which exhibits the close connection between the absolute values and the real parts of ‘functions’ in A (Theorem 1.3). 
Limaye, B. V. Boundaries For Real Banach Algebras. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 42-49. doi: 10.4153/CJM-1976-005-4
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