Automatic continuity of homomorphisms in topological algebras
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- by S. J. Bhatt PDF
- Proc. Amer. Math. Soc. 119 (1993), 135-139 Request permission
Abstract:
A homomorphism from a locally convex $Q$-algebra to a uniform topological algebra is continuous. A one-to-one homomorphism from a regular complete spectrally bounded uniform topological algebra onto a dense subalgebra of a semisimple locally $m$-convex $Q$-algebra is open. Examples are discussed to show that none of the assumptions in these results can be omitted.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 135-139
- MSC: Primary 46H40; Secondary 46J40
- DOI: https://doi.org/10.1090/S0002-9939-1993-1164140-0
- MathSciNet review: 1164140