ON THE FINE SPECTRUM OF QUADRUPLE BAND MATRIX OPERATOR OVER c(0) AND c

BİŞGİN M. C.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.50, no.5, pp.1567-1581, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.1216/rmj.2020.50.1567
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.1567-1581
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

We give the fine spectrum of the quadruple band matrix operator Q (r, s, t, u) over C-0 and c. The matrix Q(r, s, t, u) generalizes Delta(3), D(r, 0, 0, s), B(r, s, t), Delta(2), B(r, s), Delta, right-shift and Zweier matrices, where Delta(3), B(r, s, t), 42, B(r, s) and Delta are called third-order difference, triple band, second-order difference, double band (generalized difference) and difference matrix, respectively.