Geodesic
Boundedness of Multiplicative Linear Functionals
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 213-215

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

Let A be a complex sequentially complete commutative locally m-convex topological algebra which is symmetric with continuous involution. The purpose of this note is to prove that every multiplicative linear functional on A is bounded (Theorem 3). In fact, we prove a more general result for operators on real algebras (Theorem 1) from which we derive the above result. 
Husain, T.; Ng, S. B. Boundedness of Multiplicative Linear Functionals. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 213-215. doi: 10.4153/CMB-1974-043-0
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[1] 1. Michael, E. A.: Locally multiplicatively-convex topological algebras, Amer. Math. Soc. Memoirs No. 11, 1952. Google Scholar

[2] 2. Do-Sin Sya: On semi-normed rings with involutions, Izv. Akad. Nauk SSSR Ser. Mat. 23 (1959), 509-528. Google Scholar

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