Automatic Continuity of Homomorphisms in Topological Algebras
Copyright policy )Automatic Continuity of Homomorphisms in Topological Algebras
A homomorphism from a locally convex Q 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 m -convex Q Q -algebra is open. Examples are discussed to show that none of the assumptions in these results can be omitted.
semisimple locally \(m\)-convex \(Q\)-algebra, regular complete spectrally bounded uniform topological algebra, homomorphism from a locally convex \(Q\)-algebra to a uniform topological algebra, Automatic continuity
semisimple locally \(m\)-convex \(Q\)-algebra, regular complete spectrally bounded uniform topological algebra, homomorphism from a locally convex \(Q\)-algebra to a uniform topological algebra, Automatic continuity
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