STATISTICAL CONVERGENCE AND SOME QUESTIONS OF OPERATOR THEORY

GÜRDAL M. , YAMANCI U.

DYNAMIC SYSTEMS AND APPLICATIONS, cilt.24, sa.3, ss.305-311, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Konu: 3
  • Basım Tarihi: 2015
  • Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
  • Sayfa Sayıları: ss.305-311

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.