Statistical order convergence in Riesz spaces
MATHEMATICA SLOVACA, cilt.62, sa.2, ss.257-270, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 62 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.2478/s12175-012-0007-z
- Dergi Adı: MATHEMATICA SLOVACA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.257-270
- Anahtar Kelimeler: Riesz space, statistical monotone convergence, statistical order convergence, statistical convergence in norm, statistical order boundedness
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space.