Some remarks on abstract Universal series

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Nestoridis, V.¹  Papachristodoulos, C.² 

[1] Univ Athens, Dept Math, Athens 15784, Greece

[2] Univ Crete, Dept Math, Iraklion 71409, Crete, Greece

关键词: Universal series;    Abstract theory of Universal series;    Baire's Category Theorem;    Generic property;    Taylor series;    Upper density;    Lower density;   

DOI  :  10.1016/j.jmaa.2011.09.047

来源: Elsevier

【 摘 要 】

We introduce a new class of Universal series, in the abstract setting. This class lies between two already known classes of Universal series. By two examples we differentiate these classes. These examples are the first examples in the case where all classes are non-void. We also prove that the class of Universal series where the approximating indexes have upper density 1 is dense and G(delta) and that the class of lower frequently universal series is of the first category. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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