Fine spectra of upper triangular triple-band matrices over the sequence space \(\ell_p\) (\(0 < p < \infty\))

DOI10.1155/2013/342682zbMath1483.47061OpenAlexW2065057212WikidataQ58915986 ScholiaQ58915986MaRDI QIDQ369879

Ali Karaisa, Feyzi Basşar

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/342682

zbMATH Keywords

\(\ell_p\)fine spectraupper triangular triple-band matrices

Mathematics Subject Classification ID

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

Related Items (8)

Criteria for the absence of point spectrum on the boundary of the numerical range of tridiagonal matrices ⋮ On the spectrum and fine spectrum of the upper triangular matrix \(U(r_1,r_2;s_1,s_2) \) over the sequence space \(c_0 \) ⋮ On the fine spectrum of the operator defined by the lambda matrix over the spaces of null and convergent sequences ⋮ A remark on the spectrum of fractional difference operator ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Survey for the Spectrum of Triangles over Sequence Spaces

Cites Work

• On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
• Fine spectra of upper triangular double-band matrices over the sequence space \(\ell_p\), (\(1 < p < \infty\))
• Fine spectra of upper triangular double-band matrices
• The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
• 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 \(c\)
• ON THE FINE SPECTRA OF THE DIFFERENCE OPERATOR Δ OVER THE SEQUENCE SPACE lp, (1≤p<∞)
• On the spectrum of the Rhaly operators on \(\ell_p\)
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