On the fine spectra of triangular Toeplitz operators
type: Item
instance of: scholarly article
title: On the fine spectra of triangular Toeplitz operators
zbMATH Open document ID: 1250.47033
author: Muhammed Altun
published in: Applied Mathematics and Computation
publication date: 2011-06-28T00:00:00Z
review text: By fine spectrum of an operator, the author means the following three parts of spectrum: the point spectrum, the continuous spectrum, and the residual spectrum. In the present paper, these are determined for Toeplitz operators represented by upper and lower triangular \(n\)-band infinite matrices over the space \(c\) of one-sided convergent sequences and its subspace \(c_0\) of sequences converging to zero. Similar results are given for the \(\ell^ p\)-spaces, \(1\leq p\leq\infty\).
reviewed by: Vladimir S. Pilidi
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 5914117
zbMATH Keywords: Toeplitz operators
zbMATH Keywords: spectrum
zbMATH Keywords: banded matrix
MaRDI profile type: Publication
full work available at URL: j.amc.2011.03.003
OpenAlex ID: W2013957149
cites work: On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\)
cites work: Fine spectra of lacunary matrices
cites work: On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(\ell _p\) and \(bv_{p},(1<p<\infty \))
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell _{1}\) and \(bv\)
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over \(c_{0}\) and \(c\)
cites work: On the fine spectrum of the operator \(B(r,s,t)\) over the sequence spaces \(\ell_p\) and \(bv_p\),(\(1<p<\infty \))
cites work: Q4397001
cites work: The fine spectrum of the Cesàro operator in \(\ell _ p(1<p<\infty)\)
cites work: Fine spectra of upper triangular double-band matrices
cites work: Q4146094
cites work: Q4847858
cites work: On The Spectrum of the Cesaro Operator
cites work: The fine spectra for weighted mean operators
cites work: The fine spectra of the Hölder summability operators
cites work: On the spectrum and fine spectrum of the compact Rhaly operators
DOI: 10.1016/J.AMC.2011.03.003
description: scientific article; zbMATH DE number 5914117