scientific article; zbMATH DE number 7034001

zbMath1424.40049MaRDI QIDQ4627492

Binod Chandra Tripathy, Avinoy Paul

Publication date: 11 March 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol34-1/Art7.pdf

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zbMATH Keywords

approximate point spectrumcompression spectrumdefect spectrumfine spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Functional analytic methods in summability (40H05) Summability and bases in topological vector spaces (46A35) General summability methods (40C99)

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On the fine spectrum of the operator \(Q (r, s, t, u)\) over \(\ell_p\) and \(bv_p\), \(1 < p < \infty\) ⋮ Subdivisions of the spectra for D(r,0,s,0,t) operator on certain sequence spaces ⋮ On the fine spectrum of quadruple band matrix operator over \(c_0\) and \(c\) ⋮ A Survey for the Spectrum of Triangles over Sequence Spaces

Cites Work

• 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 \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\)
• On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
• On the spectrum of the Cesàro operator C 1 on $b\bar v_0 \cap \ell _\infty $
• On Certain Sequence Spaces
• The Spectrum of the Opertator D(r, 0, 0, s) over the Sequence Spaces c₀and c
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