Boundedness of Multiplicative Linear Functionals
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 213-215
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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
@article{10_4153_CMB_1974_043_0,
author = {Husain, T. and Ng, S. B.},
title = {Boundedness of {Multiplicative} {Linear} {Functionals}},
journal = {Canadian mathematical bulletin},
pages = {213--215},
year = {1974},
volume = {17},
number = {2},
doi = {10.4153/CMB-1974-043-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-043-0/}
}
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