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October 2020 On the fine spectrum of quadruple band matrix operator over $c_0$ and $c$
Mustafa Cemil Bişgin
Rocky Mountain J. Math. 50(5): 1567-1581 (October 2020). DOI: 10.1216/rmj.2020.50.1567

Abstract

We give the fine spectrum of the quadruple band matrix operator Q(r,s,t,u) over c0 and c. The matrix Q(r,s,t,u) generalizes 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 quadruple band matrix operator over $c_0$ and $c$." Rocky Mountain J. Math. 50 (5) 1567 - 1581, October 2020. https://doi.org/10.1216/rmj.2020.50.1567

Information

Received: 10 November 2019; Revised: 14 March 2020; Accepted: 15 March 2020; Published: October 2020
First available in Project Euclid: 5 November 2020

zbMATH: 07274820
MathSciNet: MR4170672
Digital Object Identifier: 10.1216/rmj.2020.50.1567

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

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 5 • October 2020
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