Equicontinuity of power maps in locally pseudo-convex algebras
El Kinani, Abdellah
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 91-98 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2003-01-01
Classification:  46H05,  46J05 
@article{119370,
     author = {Abdellah El Kinani},
     title = {Equicontinuity of power maps in locally pseudo-convex algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {91-98},
     zbl = {1103.46023},
     mrnumber = {2045848},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119370}
}

El Kinani, Abdellah. Equicontinuity of power maps in locally pseudo-convex algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 91-98. http://gdmltest.u-ga.fr/item/119370/

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