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A characterization of characters in complex m-pseudoconvex algebras

W. Żelazko (2005)

Banach Center Publications

In this paper we extend the characterization of characters given in [1], [2] and [8] onto m-pseudoconvex algebras. As a consequence (and a generalization) we give a characterization of continuous homomorphisms from m-pseudoconvex algebras into commutative semisimple m-pseudoconvex algebras.

A characterization of holomorphic germs on compact perfect sets

Graciela Carboni, Angel Rafael Larotonda (2004)

Commentationes Mathematicae Universitatis Carolinae

Let K be a perfect compact set, E a quasi-complete locally convex space over and f : K E a map. In this note we give a necessary and sufficient condition — in terms of differential quotients — for f to have a holomorphic extension on a neighborhood of K .

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