the spectrum and some subdivisions of the spectrum of discrete generalized cesàro operators on ℓ p $\ell_{p}$ ( 1 < p < ∞ $1< p<\infty$ )
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2017
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Abstract
Abstract The discrete generalized Cesàro matrix A t = ( a n k ) $A_{t}= ( a_{nk} ) $ is the triangular matrix with nonzero entries a n k = t n − k / ( n + 1 ) $a_{nk}=t^{n-k}/ ( n+1 )$ , where t ∈ [ 0 , 1 ] $t\in [ 0,1 ] $ . In this paper, boundedness, compactness, spectra, the fine spectra and subdivisions of the spectra of discrete generalized Cesàro operator on ℓ p $\ell_{p}$ ( 1 < p < ∞ $1< p<\infty$ ) have been determined.
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| Reference Key |
yldrm2017journalthe
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|---|---|
| Authors | ;Mustafa Yıldırım;Nuh Durna |
| Journal | dialogos |
| Year | 2017 |
| DOI |
10.1186/s13660-017-1464-2
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| URL | |
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