Some results related with statistical convergence and Berezin symbols

Pehlivan, Serpil; Karaev, MT

doi:10.1016/j.jmaa.2004.01.049

Some results related with statistical convergence and Berezin symbols

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Pehlivan S., Karaev M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.299, no.2, pp.333-340, 2004 (SCI-Expanded)

Publication Type: Article / Article
Volume: 299 Issue: 2
Publication Date: 2004
Doi Number: 10.1016/j.jmaa.2004.01.049
Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.333-340
Süleyman Demirel University Affiliated: Yes

Abstract

The concept of discrete statistical Abel convergence is introduced. In terms of Berezin symbols we present necessary and sufficient condition under which a series Sigma(n=0)(infinity)a(n) with bounded sequence {a(n)}(ngreater than or equal to0) of complex numbers is discrete statistically Abel convergent. By using concept of statistical convergence we also give slight strengthening of a result of Gokhberg and Krein on compact operators. (C) 2004 Elsevier Inc. All rights reserved.