Geodesic
Polynomials and Multinear mappings in locally convex algebras
Abdellah El Kinani1 ; Rachid Choukri1 ; Abdelmajid Oudades1 ; Abdellah El Kinani ; Rachid Choukri ; Abdelmajid Oudades
1Université Mohammed V, Ecole Normale Supérieure de Rabat, Morocco
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 301-307 
Abdellah El Kinani; Rachid Choukri; Abdelmajid Oudades; Abdellah El Kinani; Rachid Choukri; Abdelmajid Oudades. Polynomials and  Multinear mappings in locally convex algebras. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 301-307. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a12/
@article{AMUC_2018_87_2_a12,
     author = {Abdellah El Kinani and Rachid Choukri and Abdelmajid Oudades and Abdellah El Kinani and Rachid Choukri and Abdelmajid Oudades},
     title = { Polynomials and  {Multinear} mappings in locally convex algebras},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {301--307},
     year = {2018},
     volume = {87},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a12/}
}
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AU  - Rachid Choukri
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TI  - Polynomials and  Multinear mappings in locally convex algebras
JO  - Acta mathematica Universitatis Comenianae
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%A Abdellah El Kinani
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%A Abdelmajid Oudades
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%J Acta mathematica Universitatis Comenianae
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Voir la notice de l'article provenant de la source Comenius University

We introduce the pseudo-equicontinuity of a sequence of maps in topological algebras. This notion allows us to simplify the proofs of classical results such as theorems of Turpin for power maps in commutative locally convex algebras and that of B. Mitiagin, S. Rolewics and W. Zelazko for entire functions in commutative B0-algebras. We also obtain that a commutative B0-algebra A is m-convex if a power series with an appropriate control over its coefficients operates in some open subset of A.