The matrix domain and the spectra of a generalized difference operator
type: Item
instance of: scholarly article
title: The matrix domain and the spectra of a generalized difference operator
author: Liquan Mei
author: Ji-An Meng
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-12-10T00:00:00Z
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 6991320
zbMATH Keywords: difference operator
zbMATH Keywords: matrix domain
zbMATH Keywords: dual space
zbMATH Keywords: spectral aspect
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.10.051
OpenAlex ID: W2897922906
cites work: ON THE FINE SPECTRA OF THE DIFFERENCE OPERATOR Δ OVER THE SEQUENCE SPACE lp, (1≤p<∞)
cites work: The fine spectra of the difference operator \(\Delta\) over the sequence space \(bv_p\), \((1\leq p<\infty)^*\)
cites work: On the fine spectrum of the operator over the sequence space \(c\)
cites work: Q2974110
cites work: On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
cites work: On Some Euler Sequence Spaces of Nonabsolute Type
cites work: On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\)
cites work: Certain topological properties and duals of the domain of a triangle matrix in a sequence space
cites work: The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)
cites work: Q3540259
cites work: On some new Euler difference sequence spaces
cites work: On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
cites work: On the fine spectra of triangular Toeplitz operators
cites work: On a spectral classification of the operator \(\Delta_\nu^r\) over the sequence space \(c_0\)
cites work: Summability Theory And Its Applications
cites work: Q4455973
cites work: Euler-Ces`aro difference spaces of bounded, convergent and null sequences
cites work: Almost convergence and generalized difference matrix
cites work: Q3539443
cites work: On compact operators on the Riesz \(B^m\)-difference sequence space
cites work: On compact operators on the Riesz \(B^m\)-difference sequence spaces. II
cites work: On the \(B\)-difference sequence space derived by generalized weighted mean and compact operators
cites work: On the \(m^{th}\) order difference sequence space of generalized weighted mean and compact operators
cites work: On the generalized \(B^m\)-Riesz difference sequence space and \(\beta\)-property
cites work: ON THE SPACES OF FIBONACCI DIFFERENCE ABSOLUTELY p-SUMMABLE, NULL AND CONVERGENT SEQUENCES
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell _{1}\) and \(bv\)
cites work: On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(\ell _p\) and \(bv_{p},(1<p<\infty \))
cites work: Q4692979
cites work: On the fine spectrum of the upper triangle double band matrix \({\Delta}^+\) on the sequence space \(c_0\)
cites work: On the fine spectra of the generalized \(r\)th difference operator \(\Delta^r_v\) on the sequence space \(\ell_1\)
cites work: Some spectral aspects of the operator \(\triangle_v^r\) over the sequence spaces \(\ell_p\) and \(bv_p\) \((1 < p < \infty)\)
cites work: Q4615650
cites work: Q4925401
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over \(c_{0}\) and \(c\)
cites work: On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence space \(\ell_1\) and \(bv\)
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
cites work: Q4397001
cites work: On compact operators and some Euler \(B^{(m)}\)-difference sequence spaces
cites work: Q2995568
cites work: The fine spectra of the difference operator \Delta over the sequence spaces l_1 and bv
cites work: Some new sequence spaces derived by the domain of generalized difference matrix
cites work: On Certain Sequence Spaces
cites work: Binomial difference sequence spaces of order \(m\)
cites work: On some binomial \(B^{(m)}\)-difference sequence spaces
cites work: Q4689089
cites work: On Köthe-Toeplitz duals of generalized difference sequence spaces
cites work: On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II
cites work: Q4910082
cites work: Spectrum and fine spectrum of generalized second order forward difference operator Δuvw2 $\Delta _{uvw}^2 $ on sequence space l1
cites work: Some Euler spaces of difference sequences of order \(m\)
cites work: Some normed binomial difference sequence spaces related to the \(\ell_{p}\) spaces
cites work: On the fine spectrum of the generalized difference operator \(\Delta _{v}\) over the sequence space \(c_{0}\)
cites work: Q2996638
cites work: Fine spectrum of the generalized difference operator \(\varDelta _{uv}\) on sequence space \(l_{1}\)
cites work: Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
cites work: Q5885540
cites work: Q3312652
cites work: On the fine spectrum of the operator defined by the lambda matrix over the spaces of null and convergent sequences
cites work: Spaces of \(A_\lambda\)-almost null and \(A_\lambda\)-almost convergent sequences
DOI: 10.1016/J.JMAA.2018.10.051
description: scientific article; zbMATH DE number 6991320