On the fine spectrum of the operator \(B(r,s,t)\) over \(c_{0}\) and \(c\)

DOI10.1016/j.camwa.2006.07.006zbMath1124.47024OpenAlexW25297749MaRDI QIDQ2458701

Hüseyin Bilgiç, Bilal Altay, Hasan Furkan

Publication date: 2 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.07.006

zbMATH Keywords

spectrumdifference operatorgeneralized difference operatorfine spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Difference operators (39A70) Banach sequence spaces (46B45) Linear difference operators (47B39) Spectral sets of linear operators (47A25)

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Cites Work

• Properties of some sets of sequences and application to the spaces of bounded difference sequences of order \(\mu\)
• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• The fine spectra for weighted mean operators
• The fine spectra of the Hölder summability operators
• 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 generalized difference operator \(B(r,s)\) over the sequence space \(\ell_1\) and \(bv\)
• On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
• 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
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