(<i>e</i>)-convergence and related problem

Mübariz Tapdıgoğlu Karaev

doi:10.1016/j.crma.2010.09.017

Mathematical Analysis/Functional Analysis

(e)-convergence and related problem
[(e)-convergence et problème connexe]

Présenté par : Gilles Pisier

Mübariz Tapdıgoğlu Karaev ¹

¹ Isparta Vocational School, Suleyman Demirel University, 32260, Isparta, Turkey

Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1059-1062.

Résumé
Abstract

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 : 2010-05-23
Accepté le : 2010-09-16
Publié le : 2010-10-01

DOI : 10.1016/j.crma.2010.09.017

Affiliations des auteurs :

Mübariz Tapdıgoğlu Karaev ¹

¹ Isparta Vocational School, Suleyman Demirel University, 32260, Isparta, Turkey

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     title = {(\protect\emph{e})-convergence and related problem},
     journal = {Comptes Rendus. Math\'ematique},
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Mübariz Tapdıgoğlu Karaev. (e)-convergence and related problem. Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1059-1062. doi : 10.1016/j.crma.2010.09.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.09.017/

Bibliographie
Cité par

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