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Infrasequential Topological Algebras

Published online by Cambridge University Press:  20 November 2018

T. Husain
T. Husain*
Affiliation:
Department of Mathematics, Mcmaster University, Hamilton, Ontario, Canada, L8S 4K1
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 4 , 01 December 1979 , pp. 413 - 418
Copyright
Copyright © Canadian Mathematical Society 1979

References

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