no. 19-20
Mathematical Analysis/Functional Analysis
(e)-convergence and related problem
[(e)-convergence et problème connexe]

Présenté par : Gilles Pisier

Karaev, Mübariz Tapdıgoğlu1
1 Isparta Vocational School, Suleyman Demirel University, 32260, Isparta, Turkey
Comptes Rendus. Mathématique, Tome 348 (2010) no. 19-20, pp. 1059-1062.

On donne une réponse négative à une question posée par Zobroska (2003) dans [13] ; cette question porte sur le comportement à la frontière des symboles de Berezin d'opérateurs spaciaux de Bergman. On introduit aussi les notions de (e)-sommabilité de suites et de séries de nombres complexes et on étudie certaines de leurs propriétés. Comme corollaire, on retrouve les théorèmes classiques de Abel sur la théorie de la sommabilité.

We answer negatively to a question of Zorboska (2003) [13], which is concerned to the boundary behavior of Berezin symbols of Bergman space operators. We also introduce the notions of (e)-summability of sequences and series of complex numbers, and study some of their properties. As a corollary, we obtain the classical Abel theorems of summability theory.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.09.017
Karaev, Mübariz Tapdıgoğlu 1

1 Isparta Vocational School, Suleyman Demirel University, 32260, Isparta, Turkey 
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Karaev, Mübariz Tapdıgoğlu. (e)-convergence and related problem. Comptes Rendus. Mathématique, Tome 348 (2010) no. 19-20, pp. 1059-1062. doi : 10.1016/j.crma.2010.09.017. http://www.numdam.org/articles/10.1016/j.crma.2010.09.017/

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