Statistical convergence and operators on Fock space
NEW YORK JOURNAL OF MATHEMATICS, vol.22, pp.199-207, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22
- Publication Date: 2016
- Journal Name: NEW YORK JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.199-207
- Keywords: Berezin symbol, Compact operator, Statistical convergence, Discrete statistical Borel convergence, Fock space, REPRODUCING KERNELS, BEREZIN SYMBOLS, QUESTIONS
- Süleyman Demirel University Affiliated: Yes
Abstract
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.