Entire functions and equicontinuity of power maps in Baire algebras.

Abdellah El Kinani

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 337-340
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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El Kinani, Abdellah. "Entire functions and equicontinuity of power maps in Baire algebras.." Revista Matemática Complutense 13.2 (2000): 337-340. <http://eudml.org/doc/44487>.

@article{ElKinani2000,
abstract = {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.},
author = {El Kinani, Abdellah},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Baire; Algebra localmente convexa; Función entera; power maps; equicontinuous at zero; Baire locally convex algebra with a continuous product; -convex; commutative -algebras},
language = {eng},
number = {2},
pages = {337-340},
title = {Entire functions and equicontinuity of power maps in Baire algebras.},
url = {http://eudml.org/doc/44487},
volume = {13},
year = {2000},
}

TY - JOUR
AU - El Kinani, Abdellah
TI - Entire functions and equicontinuity of power maps in Baire algebras.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 337
EP - 340
AB - 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.
LA - eng
KW - Espacios de Baire; Algebra localmente convexa; Función entera; power maps; equicontinuous at zero; Baire locally convex algebra with a continuous product; -convex; commutative -algebras
UR - http://eudml.org/doc/44487
ER -

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