Infrasequential Topological Algebras
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 413-418

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

The notion of sequential topological algebra was introduced by this author and Ng [3], Among a number of results concerning these algebras, we showed that each multiplicative linear functional on a sequentially complete, sequential, locally convex algebra is bounded ([3], Theorem 1). From this it follows that every multiplicative linear functional on a sequential F-algebra (complete metrizable) is continuous ([3], Corollary 2).
Husain, T. Infrasequential Topological Algebras. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 413-418. doi: 10.4153/CMB-1979-054-1
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[1] 1. Husain, T. and Ng, S-B., Boundedness of multiplicative linear functionals, Canadian Math. Bull. 17 (1974), 213-215. Google Scholar

[2] 2. Husain, T. and Ng, S-B., On continuity of algebra homomorphism and uniqueness of metric topology, Math. Zeit, 139 (1974), 1-4. Google Scholar

[3] 3. Husain, T. and Ng, S-B., On the boundedness of multiplicative and positive functionals, Journal of Australian Math. Soc. XXI (1976), 498-503. Google Scholar

[4] 4. Joseph, G. A., Multiplicative functionals and a class of topological algebras, Bull. Australian Math. Soc. 17 (1977), 391-399. Google Scholar

[5] 5. Michael, E. A., Locally multiplicatively -convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). Google Scholar

[6] 6. Rickart, C. E., General theory of Banach algebras, Van Nostrand, N.Y. 1960. Google Scholar

[7] 7. Buck, R. C., Bounded Continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95-104. Google Scholar

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