Statistical convergence and operators on Fock space
NEW YORK JOURNAL OF MATHEMATICS, cilt.22, ss.199-207, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22
- Basım Tarihi: 2016
- Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.199-207
- Anahtar Kelimeler: Berezin symbol, Compact operator, Statistical convergence, Discrete statistical Borel convergence, Fock space, REPRODUCING KERNELS, BEREZIN SYMBOLS, QUESTIONS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we introduce the notion of discrete statistical Borel convergence. Also, we give necessary and sufficient condition under which a series with bounded sequence of complex numbers is discrete statistically Borel convergent. Moreover, we present in terms of Berezin symbols some characterization Schatten-von Neumann class operators.