Some results related with statistical convergence and Berezin symbols


Pehlivan S. , Karaev M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.299, no.2, pp.333-340, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 299 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.jmaa.2004.01.049
  • Title of Journal : JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Page Numbers: pp.333-340

Abstract

The concept of discrete statistical Abel convergence is introduced. In terms of Berezin symbols we present necessary and sufficient condition under which a series Sigma(n=0)(infinity)a(n) with bounded sequence {a(n)}(ngreater than or equal to0) of complex numbers is discrete statistically Abel convergent. By using concept of statistical convergence we also give slight strengthening of a result of Gokhberg and Krein on compact operators. (C) 2004 Elsevier Inc. All rights reserved.