The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on ℓ p $\ell_{p}$ ( 1 < p < ∞ $1< p

Autor: Mustafa Yıldırım, Nuh Durna

Publikováno v: Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-13 (2017)

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, bound

Externí odkaz: https://doaj.org/article/bc9ce2355b13471580b4ccf7e101f8b5

Spectra and fine spectra of the generalized upper difference operator with triple repetition Δ3ab$\begin{array}{}\displaystyle\Delta_{3}^{ab}\end{array}$ on the Hahn sequence space

Autor: Nuh Durna, Mohammad Mursaleen, Rabia Kılıç

Publikováno v: Mathematica Slovaca. 72:719-736

The goal of this paper is to obtain the spectra and fine spectra of the matrix Δ 3 a b $\begin{array}{}\displaystyle\Delta_{3}^{ab}\end{array}$ on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::419c6c28057c50d9db894559e6f8b489
https://doi.org/10.1515/ms-2022-0049

The spectrum of q-Cesàro matrices on c and its various spectral decomposition for 0

Autor: Merve Esra Türkay, Nuh Durna

Publikováno v: Operators and Matrices. :795-813

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1c0c32057b31eab855d319df9a8cdb7f
https://doi.org/10.7153/oam-2021-15-55

Spectra and fine spectra of the generalized upper difference operator with triple repetition ∆_3^ab on the Hahn sequence space

Autor: Nuh Durna, Mursaleen Muhammed, Kılıç Rabia

The goal of this paper is to obtain the spectra and ne spectra of the matrix D_3âb on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix D_3âb where the non-zero diagonals ar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3104::bbe8cea2d3d480f617f6ab55b9717d95
https://hdl.handle.net/20.500.12418/13524

Spectra and fine spectra for the upper triangular band matrix U(a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c 0

Autor: Rabia Kilic, Nuh Durna

Publikováno v: Proyecciones (Antofagasta), Volume: 38, Issue: 1, Pages: 145-162, Published: MAR 2019
Proyecciones (Antofagasta) v.38 n.1 2019
SciELO Chile
CONICYT Chile
instacron:CONICYT

The aim of this paper is to obtain the spectrum, fine spectrum, approximate point spectrum, defect spectrum and compression spectrum of the operator on the sequence space c 0 where b 0 , b 1 , b 2 are nonrzero and the nonzero diagonals are the entrie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::509cad5caa421ef0619e739fbcceffb6
https://doi.org/10.4067/s0716-09172019000100145