Some spectral aspects of the operator \(\triangle_v^r\) over the sequence spaces \(\ell_p\) and \(bv_p\) \((1 < p < \infty)\)

DOI10.1155/2013/286748zbMath1380.47026OpenAlexW1973355797WikidataQ58920742 ScholiaQ58920742MaRDI QIDQ463165

Salila Dutta, Pinakadhar Baliarsingh

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/286748

zbMATH Keywords

point spectrumgeneralized difference operatorfine spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear difference operators (47B39)

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Cites Work

• On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
• On the fine spectrum of the operator over the sequence space \(c\)
• 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 spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• 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 \(bv_p\), \((1\leq p<\infty)^*\)
• On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
• The fine spectra of the difference operator \Delta over the sequence spaces l_1 and bv
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