On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)

DOI10.1016/j.ins.2004.02.007zbMath1085.47041OpenAlexW2019317216MaRDI QIDQ2486024

Bilal Altay, Feyzi Basşar

Publication date: 5 August 2005

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2004.02.007

zbMATH Keywords

sequence spacesdifference operatorfine spectrumMercerian theorem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Difference operators (39A70) Banach sequence spaces (46B45) Linear difference operators (47B39)

Related Items

Unnamed Item ⋮ The matrix domain and the spectra of a generalized difference operator ⋮ On a generalized difference sequence and its applications ⋮ On \((\Delta_{\lambda}^m,I)\)-statistical convergence of order \(\alpha\) ⋮ λ(Δim)–statistical convergence of order α ⋮ Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces ⋮ Unnamed Item ⋮ On the fine spectrum of the operator \(Q (r, s, t, u)\) over \(\ell_p\) and \(bv_p\), \(1 < p < \infty\) ⋮ On certain Toeplitz matrices via difference operator and their applications ⋮ On the compactness and spectra of the generalized difference operator on the spaces ℓ^∞ and bv ⋮ The spectrum of the operator \(D(r, 0, s, 0, t)\) over the sequence spaces \(c_0\) and \(c\) ⋮ Spectra of the generalized difference operator on the sequence spaces andh ⋮ A certain class of deferred weighted statistical B-summability involving (p,q)-integers and analogous approximation theorems ⋮ On the spectrum and fine spectrum of the upper triangular matrix \(U(r_1,r_2;s_1,s_2) \) over the sequence space \(c_0 \) ⋮ Generalized difference sequences of fuzzy numbers ⋮ Fine spectra of upper triangular triple-band matrices over the sequence space \(\ell_p\) (\(0 < p < \infty\)) ⋮ On the fine spectrum of the operator defined by the lambda matrix over the spaces of null and convergent sequences ⋮ Subdivision of spectra for some lower triangular double-band matrices as operators on \(c_0\) ⋮ On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \)) ⋮ Fine spectrum of the generalized difference operator \(\varDelta _{uv}\) on sequence space \(l_{1}\) ⋮ Subdivisions of the spectra for D(r,0,s,0,t) operator on certain sequence spaces ⋮ Infinite Matrices Bounded on Weighted $$c_0$$ Space ⋮ On the fine spectrum of the operator over the sequence space \(c\) ⋮ Unnamed Item ⋮ Fine spectra of symmetric Toeplitz operators ⋮ Spectrum and fine spectrum of generalized lower triangular triple band matrices over the sequence space l_p ⋮ On the fine spectrum of quadruple band matrix operator over \(c_0\) and \(c\) ⋮ On \(p\alpha\)-dual spaces of generalized difference sequence spaces ⋮ On generalized statistical convergence of order \(\alpha\) of difference sequences ⋮ Some spectral aspects of the operator \(\triangle_v^r\) over the sequence spaces \(\ell_p\) and \(bv_p\) \((1 < p < \infty)\) ⋮ On some Toeplitz matrices and their inversions ⋮ A new difference sequence set of order \(\alpha\) and its geometrical properties ⋮ Generalized Cesàro difference sequence spaces of non-absolute type involving lacunary sequences ⋮ A survey on the spectra of the difference operators over the Banach space \(c\) ⋮ Fine spectrum of the upper triangular matrix U(&#119955;,0,0,&#119956;) over the sequence spaces &#119940;&#8320; and &#119940; ⋮ Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers ⋮ On the fine spectrum of the operator \(B(r,s,t)\) over \(c_{0}\) and \(c\) ⋮ On a new difference sequence space ⋮ The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\) ⋮ On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(\ell _p\) and \(bv_{p},(1<p<\infty \)) ⋮ The fine spectra of the difference operator \(\Delta\) over the sequence space \(bv_p\), \((1\leq p<\infty)^*\) ⋮ On fractional powers of double band matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the fine spectra of the generalized \(r\)th difference operator \(\Delta^r_v\) on the sequence space \(\ell_1\) ⋮ Spectra and fine spectra of certain lower triangular double-band matrices as operators on \(c_0\) ⋮ Fine spectra of upper triangular double-band matrices over the sequence space \(\ell_p\), (\(1 < p < \infty\)) ⋮ Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems ⋮ Spectra of lower triangular infinite matrices formed by oscillatory sequences ⋮ The spectrum of the generalized difference operatorB_v^(m)over the sequence space ℓ_p(1 <p< ∞ ⋮ Generalized statistical convergence of order β for sequences of fuzzy numbers ⋮ Δim–lacunary statistical convergence of order α ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Survey for the Spectrum of Triangles over Sequence Spaces ⋮ On the Spectra of Difference Operators Over Some Banach Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The spectra of the generalized difference operators on the spaces of convergent series ⋮ On a spectral classification of the operator \(\Delta_\nu^r\) over the sequence space \(c_0\)

Cites Work

• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• On The Spectrum of the Cesaro Operator
• On the fine spectrum of the Cesàro operator in c0
• On the spectrum and fine spectrum of the compact Rhaly operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)