Triangles Which are Bounded Operators on Ak

Savaş E., Şevli H., Rhoades B.

Bulletin of the Malaysian Mathematical Sciences Society, vol.32, no.2, pp.223-231, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 2
  • Publication Date: 2009
  • Journal Name: Bulletin of the Malaysian Mathematical Sciences Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.223-231
  • Keywords: Ak spaces, Bounded operator, Triangular matrices, Weighted mean methods
  • Uşak University Affiliated: No

Abstract

A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a triangle T : Ak → Ak for the sequence space Ak defined as follows:.