Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)

DOI10.1515/ms-2015-0078zbMath1363.47008OpenAlexW2562361186MaRDI QIDQ3465429

Ali M. Akhmedov, Saad R. El-Shabrawy

Publication date: 21 January 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0078

zbMATH Keywords

sequence spacesspectruminfinite matrices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

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Cites Work

• On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
• Spectra and fine spectra for factorable matrices
• Fine spectra of upper triangular double-band matrices
• The fine spectra of the difference operator \(\Delta\) over the sequence space \(bv_p\), \((1\leq p<\infty)^*\)
• Spectra for factorable matrices on \(\ell^p\)

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