Infrasequential Topological Algebras
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 413-418
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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
@article{10_4153_CMB_1979_054_1,
author = {Husain, T.},
title = {Infrasequential {Topological} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {413--418},
year = {1979},
volume = {22},
number = {4},
doi = {10.4153/CMB-1979-054-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-054-1/}
}
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