The spectrum of the operator \(D(r, 0, s, 0, t)\) over the sequence spaces \(c_0\) and \(c\)

DOI10.1155/2013/430965zbMath1285.47035OpenAlexW1952181571WikidataQ59015422 ScholiaQ59015422MaRDI QIDQ355704

Binod Chandra Tripathy, Avinoy Paul

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/430965

zbMATH Keywords

continuous spectrumpoint spectrumresidual spectrumlower triangular operator on \(c_0\) and \(c\)

Mathematics Subject Classification ID

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

Related Items

On the fine spectrum of the operator \(Q (r, s, t, u)\) over \(\ell_p\) and \(bv_p\), \(1 < p < \infty\), Fine spectrum of the generalized difference operator \(B(r, s)\) over the class of convergent series, Subdivisions of the spectra for D(r,0,s,0,t) operator on certain sequence spaces, On the convergence difference sequences and the related operator norms, The spectrum of the operator \(D(r,0,s,0,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\), Spectra of lower triangular infinite matrices formed by oscillatory sequences, The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces, Isoperimetric inequalities of the fourth order Neumann eigenvalues, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
• Matrix transformation between some classes of sequences
• On a class of generalized lacunary difference sequence spaces defined by Orlicz functions
• Statistically convergent difference double sequence spaces
• Nörlund and Riesz mean of sequences of fuzzy real numbers
• The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)
• The sequence space \(| \overline N_p|(M, r, q, s)\) on seminormed spaces
• Matrix maps on sequence spaces associated with sets of integers
• 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 operator \(B(r,s,t)\) over the sequence spaces \(\ell _{1}\) and \(bv\)
• On the fine spectrum of the difference operator \(\Delta\) on \(c_{0}\) and \(c\)
• Some Difference Double Sequence Spaces Defined By Orlicz Function
• On Certain Sequence Spaces
• Generalized difference sequence spaces on seminormed space defined by Orlicz functions
• On some new type generalized difference sequence spaces