The spectrum and some subdivisions of the spectrum of discrete generalized Cesaro operators on l(p) (1 < p < infinity)
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (SCI-Expanded)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.