Statistical convergence and operators on Fock space


YAMANCI U., GÜRDAL M.

NEW YORK JOURNAL OF MATHEMATICS, vol.22, pp.199-207, 2016 (SCI-Expanded) identifier identifier

  • 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.