The Spectrum and Fine Spectrum of q-Cesàro Matrices with 0 < q < 1 on c0. (17th February 2020)

• Record Type: Journal Article
• Authors: Yildirim, Merve Esra
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 3(2020)
• Page Start: 361
• Page End: 377
• Publication Date: 2020-02-17
• Subjects: Fine spectrum -- lower bound problem -- q-Cesaro matrices -- q-Hausdorff matrices -- spectrum; Primary: 40H05 -- 40C99 -- Secondary: 46A35 -- 47A10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1633666
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: One of the q-analogs of the Cesáro matrix of order one is the triangular matrix with nonzero entries c nk = q n − k 1 + q + ⋯ + q n 0 ≤ k ≤ n, where q ∈ [ 0, 1 ] . In this paper, we determine the spectrum and various spectral separations of the spectrum of C 1 ( q ) = ( a nk ( q ) ) which is q -analog of the Cesáro matrix regarded as a bounded linear operator on the sequence space c 0 .