Spectra and fine spectra for the upper triangular band matrix U(a 0 , a 1 , a 2 ; b 0 , b 1 , b 2 ) over the sequence space c 0

DOI10.4067/S0716-09172019000100145OpenAlexW2964575573WikidataQ128416246 ScholiaQ128416246MaRDI QIDQ3294985

Nuh Durna, Rabia Kılıç

Publication date: 30 June 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172019000100145

zbMATH Keywords

spectrumapproximate point spectrumcompression spectrumdefect spectrumfine spectrumupper triangular band matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (2)

Spectra and fine spectra of the generalized upper difference operator with triple repetition \(\Delta_3^{ab}\) on the Hahn sequence space ⋮ Spectra of lower triangular infinite matrices formed by oscillatory sequences

Cites Work

• The spectrum of the operator \(D(r,0,0,s)\) over the sequence space \(bv_{0}\)
• 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 spectrum of the Rhaly operators on \(c_0\) and \(c\)
• 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 spectrum of the Cesàro operator C 1 on $b\bar v_0 \cap \ell _\infty $
• On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
• Fine spectrum of the upper triangular matrix U(&#119955;,0,0,&#119956;) over the sequence spaces &#119940;&#8320; and &#119940;
• On The Spectrum of the Cesaro Operator
• Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
• The Spectrum of the Opertator D(r, 0, 0, s) over the Sequence Spaces c₀and c
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