On the spectrum of 2-nd order generalized difference operator $\delta^2$ over the sequence space $c_0$

The main purpose of  this article is to  determine the spectrum and the fine spectrum  of second order  difference operator $\Delta^2$  over the sequence space $c_0$. For any sequence $(x_k)_0^\infty$ in $c_0$, the generalized second order  difference operator $\Delta^2$  over  $c_0$ is defined by $...

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Bibliographic Details
Main Authors: S. Dutta, Pinakadhar Baliarsingh
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17541