A remark on the spectrum of fractional difference operator

DOI10.1080/03081087.2022.2155795OpenAlexW4311495723MaRDI QIDQ6177667

No author found.

Publication date: 17 January 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2022.2155795

zbMATH Keywords

sequence spaces resolvent set regular value spectrum of an operator fractional difference operator

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Spectrum, resolvent (47A10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On certain Toeplitz matrices via difference operator and their applications
Fine spectra of upper triangular triple-band matrices over the sequence space \(\ell_p\) (\(0 < p < \infty\))
The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)
On the fine spectrum of the generalized difference operator \(\Delta _{v}\) over the sequence space \(c_{0}\)
The fine spectra of the Hölder summability operators
Some new difference sequence spaces of fractional order and their dual spaces
A survey on the spectra of the difference operators over the Banach space \(c\)
On the fine spectra of the generalized \(r\)th difference operator \(\Delta^r_v\) on the sequence space \(\ell_1\)
On a spectral classification of the operator \(\Delta_\nu^r\) over the sequence space \(c_0\)
On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\)
The fine spectra of the difference operator \(\Delta\) over the sequence space \(bv_p\), \((1\leq p<\infty)^*\)
Some paranormed sequence spaces of non-absolute type derived by weighted mean
On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space
On The Spectrum of the Cesaro Operator
ON THE FINE SPECTRA OF THE DIFFERENCE OPERATOR Δ OVER THE SEQUENCE SPACE lp, (1≤p<∞)
The fine spectra of the difference operator \Delta over the sequence spaces l_1 and bv
On Certain Sequence Spaces
Summability Theory and Its Applications
Sequence Spaces
A Survey for the Spectrum of Triangles over Sequence Spaces
On the fine spectrum of the Cesàro operator in c0
On the spectrum of fractional difference operator

This page was built for publication: A remark on the spectrum of fractional difference operator