Entire functions and equicontinuity of power maps in Baire algebras

• Autores: Abdellah El Kinani
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 13, Nº 2, 2000, págs. 337-340
• Idioma: inglés
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• Resumen

  • 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 of Mityagin, Rolewicz and Zelazko for commutative B0-algebras.