Geodesic
Equicontinuity of power maps in locally pseudo-convex algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 91-98.

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We show that, in any unitary (commutative or not) Baire locally pseudo-convex algebra with a continuous product, the power maps are equicontinuous at zero if all entire functions operate. We obtain the same conclusion if every element is bounded. An immediate consequence is a result of A. Arosio on commutative and complete metrizable locally convex algebras.
Classification : 46H05, 46J05
Keywords: locally pseudo-convex algebra; continuous product; $m$-$p$-convexity; Baire space; power maps 
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El Kinani, A. Equicontinuity of power maps in locally pseudo-convex algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 91-98. http://geodesic.mathdoc.fr/item/CMUC_2003__44_1_a7/