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

被引：0
|
作者：
Yildirim, Mustafa [1 ]
Durna, Nuh [1 ]
机构：
[1] Cumhuriyet Univ, Dept Math, Fac Sci, TR-58410 Sivas, Turkey
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
关键词：
spectrum; fine spectrum; Cesaro operator; discrete generalized Cesaro operators; FINE SPECTRUM; DIFFERENCE OPERATOR; MATRICES;
D O I：
10.1186/s13660-017-1464-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：13
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