STATISTICAL CONVERGENCE AND SOME QUESTIONS OF OPERATOR THEORY
DYNAMIC SYSTEMS AND APPLICATIONS, cilt.24, sa.3, ss.305-311, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 3
- Basım Tarihi: 2015
- Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.305-311
- Anahtar Kelimeler: Statistical convergence, Compact operator, Schatten-Neumann class, Berezin symbol, REPRODUCING KERNELS, BEREZIN SYMBOLS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We use the concepts of statistical convergence and Berezin symbols for solving of some problems of operator theory. Namely, we prove that under some conditions the weak statistical limit of compact operators is compact. We also use statistical convergence for the solving of similar problem for the sequence of operators from Schatten-Neuman class. Some related questions are also discussed.