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June 2022 On the fine spectrum of the operator Q(r,s,t,u) over p and bvp, 1<p<
Mustafa Cemil Bişgin
Rocky Mountain J. Math. 52(3): 777-791 (June 2022). DOI: 10.1216/rmj.2022.52.777

Abstract

We specify the fine spectrum of the quadruple band matrix operator Q(r,s,t,u) over the sequence spaces p and bvp, where 1<p<. The quadruple band matrix Q(r,s,t,u) is the general state of Δ3, D(r,0,0,s), B(r,s,t), Δ2, B(r,s), Δ, right shift and Zweier matrices, where Δ3, B(r,s,t), Δ2, B(r,s) and Δ are called third-order difference, triple band, second-order difference, double band (generalized difference) and difference matrix, respectively.

Citation

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Mustafa Cemil Bişgin. "On the fine spectrum of the operator Q(r,s,t,u) over p and bvp, 1<p<." Rocky Mountain J. Math. 52 (3) 777 - 791, June 2022. https://doi.org/10.1216/rmj.2022.52.777

Information

Received: 12 January 2021; Revised: 9 September 2021; Accepted: 9 September 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

Digital Object Identifier: 10.1216/rmj.2022.52.777

Subjects:
Primary: 47A10
Secondary: 47B37 , 47B39

Keywords: perturbed operator , quadruple band matrix , resolvent set , sequence space , spectrum of an operator

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 3 • June 2022
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