Subdivision of Spectra for Some Lower Triangular Double-Band Matrices as Operators on c(0)


Durna N.

UKRAINIAN MATHEMATICAL JOURNAL, vol.70, no.7, pp.1052-1062, 2018 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 7
  • Publication Date: 2018
  • Doi Number: 10.1007/s11253-018-1551-7
  • Title of Journal : UKRAINIAN MATHEMATICAL JOURNAL
  • Page Numbers: pp.1052-1062

Abstract

The generalized difference operator.a, b was defined by El- Shabrawy:.a, bx =.a, b ( xn) = ( anxn + bn- 1xn- 1) 1n = 0 with x- 1 = b- 1 = 0, where ( ak) and ( bk) are convergent sequences of nonzero real numbers satisfying certain conditions. We completely determine the approximate point spectrum, the defect spectrum, and the compression spectrum of the operator.a, b in a sequence space c0.