The fine spectra of the difference operator \(\Delta\) over the sequence space \(bv_p\), \((1\leq p<\infty)^*\)
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Publication:2465531
DOI10.1007/s10114-005-0777-0zbMath1134.47025OpenAlexW2031484954MaRDI QIDQ2465531
Publication date: 4 January 2008
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0777-0
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
- 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 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 difference operator \(\Delta\) on \(c_{0}\) and \(c\)
- 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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