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Entire functions and equicontinuity of power maps in Baire algebras. (English) Zbl 0976.46032

Summary: 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 \(m\)-convex in the commutative case. As a consequence, we get the same result as B. S. Mityagin, S. Rolewicz and W. Zelazko for commutative \(B_0\)-algebras [Stud. Math. 21, 291-306 (1962; Zbl 0111.31001)].

MSC:

46H05 General theory of topological algebras
46H20 Structure, classification of topological algebras
46J05 General theory of commutative topological algebras

Citations:

Zbl 0111.31001
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