A NOTE ON STAR TOPOLOGICAL ALGEBRAS

  • ANSARI-PIRI, E. (Department of Mathematics Guilan University)
  • Received : 2004.09.22
  • Accepted : 2004.12.08
  • Published : 2005.03.25

Abstract

$C^*$-algebras which are closed sub-algebras of Banach algebras have been studied many years ago. In this note we extend the main definition of $C^*$-algebras to metrizable topological algebras.

Keywords

Involution topological algebras;Star topological algebras

References

  1. Complete Normed Algebras Bonsall, F.F.;Doncan, J.
  2. Metric Spaces Copson, E.T.
  3. Topological Algebras, Selected Topics(Mathematical Studies) Mallios, A.
  4. $C^*-Algebras$ and operator theory Murphy, G.J.
  5. Topological vector spaces Schaefer, H.H.