Subdivisions of the spectra for D(r,0,s,0,t) operator on certain sequence spaces

DOI10.5269/bspm.44219OpenAlexW4200020051MaRDI QIDQ6189489

Binod Chandra Tripathy, Avinoy Paul

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.44219

zbMATH Keywords

approximate point spectrumcompression spectrumdefect spectrumfine spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functional analytic methods in summability (40H05) Summability and bases in topological vector spaces (46A35) General summability methods (40C99)

Cites Work

• The spectrum of the operator \(D(r, 0, s, 0, t)\) over the sequence spaces \(c_0\) and \(c\)
• The spectrum of the operator \(D(r,0,0,s)\) over the sequence space \(bv_{0}\)
• The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\)
• 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 \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\)
• On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
• Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
• On Certain Sequence Spaces
• The Spectrum of the Opertator D(r, 0, 0, s) over the Sequence Spaces c₀and c
• On some new type generalized difference sequence spaces
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