Codimension of some subspaces in a Fréchet algebra
HTML articles powered by AMS MathViewer
- by Jens Peter Reus Christensen PDF
- Proc. Amer. Math. Soc. 57 (1976), 276-278 Request permission
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
- J. P. R. Christensen, Topology and Borel structure, North-Holland Mathematics Studies, Vol. 10, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1974. Descriptive topology and set theory with applications to functional analysis and measure theory. MR 0348724 C. Kuratowski, Topologie. Vol. 1, 2nd ed., Monografie Mat., Tom 20, PWN, Warsaw, 1948. MR 10, 389.
- François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. MR 0225131 Problems list from the conference on derivations and homomorphisms at U.C.L.A., July 1974.
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 276-278
- MSC: Primary 46H10
- DOI: https://doi.org/10.1090/S0002-9939-1976-0405107-7
- MathSciNet review: 0405107