A remark on Toeplitz and Laurent operators acting on ℓp spaces with power weights

Karlovych, OleksiyShargorodsky, Eugene2024-04-052024-04-052024-09-150024-3795PURE: 84563632PURE UUID: 7d512219-9a00-41bd-9931-904c555b2e11Scopus: 85171259049WOS: 001252453900001http://hdl.handle.net/10362/165826Publisher Copyright: © 2023 Elsevier Inc.In the late 1980's, Böttcher and Silbermann asked whether the boundedness of the Toeplitz operator T(a) on the space ℓμp(Z+) implies boundedness of the Laurent operator M(a) on the space ℓ0,μp,p(Z). We give the negative answer to this question.11290443engDiscrete Hilbert transformDiscrete Muckenhoupt conditionLaurent operatorPower weightToeplitz operatorWeighted ℓ spaceAlgebra and Number TheoryNumerical AnalysisGeometry and TopologyDiscrete Mathematics and CombinatoricsA remark on Toeplitz and Laurent operators acting on ℓp spaces with power weightsjournal article10.1016/j.laa.2023.08.022https://www.scopus.com/pages/publications/85171259049