El Kinani, A. Entire functions and equicontinuity of power maps in Baire algebras. (English) Zbl 0976.46032 Rev. Mat. Complut. 13, No. 2, 337-340 (2000). 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)]. Cited in 1 Document MSC: 46H05 General theory of topological algebras 46H20 Structure, classification of topological algebras 46J05 General theory of commutative topological algebras Keywords:power maps; equicontinuous at zero; Baire locally convex algebra with a continuous product; \(m\)-convex; commutative \(B_0\)-algebras Citations:Zbl 0111.31001 PDFBibTeX XMLCite \textit{A. El Kinani}, Rev. Mat. Complut. 13, No. 2, 337--340 (2000; Zbl 0976.46032) Full Text: DOI EuDML