Full paper in PDF:
$%A. El Kinani, Entire functions and equicontinuity of power maps in Baire algebras, Rev. Mat. Complut. 13 (2000), no. 2, 337–340.%$

We obtain that the power maps are equicontinuous at zero in any Baire locally convex algebra with a continuous product in which all entire functions operate; whence is -convex in the commutative case. As a consequence, we get the same result of Mityagin, Rolewicz, and Zelazko for commutative -algebras.

1991 Mathematics Subject Classification: 46H05, 46H20.