Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COMPLETION OF FUNDAMENTAL TOPOLOGICAL VECTOR SPACES

  • ANSARI-PIRI, E. (Department of Mathematics, Faculty of science, Guilan University)
  • Received : 2004.01.27
  • Accepted : 2004.02.28
  • Published : 2004.03.25
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Abstract

A class of topological algebras, which we call it a fundamental one, has already been introduced generalizing the famous Cohen factorization theorem to more general topological algebras. To prove the generalized versions of Cohen's theorem to locally multilplicatively convex algebras, and finally to fundamental topological algebras, the completness of the background spaces is one of the main conditions. The local convexity of the completion of a locally convex space is a well known fact and here we have a discussion on the completness of fundamental metrizable topological vector spaces.

Keywords

References

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