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

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Yıldırım M., Durna N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1186/s13660-017-1464-2
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: spectrum, fine spectrum, Cesaro operator, discrete generalized Cesaro operators, FINE SPECTRUM, DIFFERENCE OPERATOR, MATRICES
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.