The spectrum and some subdivisions of the spectrum of discrete generalized Cesaro operators on l(p) (1 < p < infinity)


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YILDIRIM M. , DURNA N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Doi Number: 10.1186/s13660-017-1464-2
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

The discrete generalized Cesaro matrix A(t) = (a(nk)) is the triangular matrix with nonzero entries a(nk) = t(n-k)/(n + 1), where t is an element of [0, 1]. In this paper, boundedness, compactness, spectra, the fine spectra and subdivisions of the spectra of discrete generalized Cesaro operator on l(p) (1 < p < infinity) have been determined.