Representation of Topological Algebras by Projective Limit of Fréchet Algebras

Authors

  • Mati Abel Institute of Mathematics, University of Tartu, 2 J. Liivi Str., Room 614, 50409 Tartu

DOI:

https://doi.org/10.26713/cma.v3i1.140

Keywords:

Topological algebra, Locally pseudoconvex algebra, Fréchet algebra, $F$-seminorm, Projective limit of topological algebras

Abstract

It is shown that every topological Hausdorff algebra (in particular, locally pseudoconvex Hausdorff algebra) $A$ with jointly continuous multiplication is topologically isomorphic to a dense subalgebra of the projective limit of Fréchet (respectively, locally pseudoconvex Fréchet) algebras. In case, when $A$ is complete, $A$ and this projective limit of Fréchet (respectively, locally pseudoconvex Fréchet) algebras are topologically isomorphic. A partly new proof for these results from [11] are given.

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CITATION

How to Cite

Abel, M. (2012). Representation of Topological Algebras by Projective Limit of Fréchet Algebras. Communications in Mathematics and Applications, 3(1), 9–15. https://doi.org/10.26713/cma.v3i1.140

Issue

Vol. 3 No. 1 (2012)

Section

Research Article

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