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Codimension of some subspaces in a Fréchet algebra

Author: Jens Peter Reus Christensen
Journal: Proc. Amer. Math. Soc. 57 (1976), 276-278
MSC: Primary 46H10
MathSciNet review: 0405107
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Abstract: In a complete separable metrizable topological algebra, if the linear span of the set of all products of two elements has at most countable algebraic codimension, then it has finite codimension.

References [Enhancements On Off] (What's this?)

  • [1] J.P.R. Christensen, Topology and Borel structure, North-Holland Math. Studies, vol. 10; Notas de Matemática, no. 51, North-Holland, Amsterdam; American Elsevier, New York, 1974. MR 50 #1221. MR 0348724 (50:1221)
  • [2] C. Kuratowski, Topologie. Vol. 1, 2nd ed., Monografie Mat., Tom 20, PWN, Warsaw, 1948. MR 10, 389.
  • [3] F. Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York and London, 1967. MR 37 #726. MR 0225131 (37:726)
  • [4] Problems list from the conference on derivations and homomorphisms at U.C.L.A., July 1974.

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Article copyright: © Copyright 1976 American Mathematical Society

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