Some results related with statistical convergence and Berezin symbols
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.299, sa.2, ss.333-340, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 299 Sayı: 2
- Basım Tarihi: 2004
- Doi Numarası: 10.1016/j.jmaa.2004.01.049
- Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.333-340
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.