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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 5 > No. 3

 
   

On the fine spectrum of the operator Ēv over the sequence spaces c and lp; (1 < p < 1)

PP: 635-654
Author(s)
A. M. Akhmedov, S. R. El-Shabrawy,
Abstract
The purpose of this paper is threefold: first to mainly review several recent results concerning the fine spectrum of the operator Ēv over the sequence spaces c and lp, where 1 < p < 1; second to provide some new results concerning the residual spectrum and the continuous spectrum of the operator Ēv over the sequence spaces c and lp; and third to modify the definition of the operator Ēv and to determine the fine spectrum of the modified operator over the sequence spaces c and lp, where 1 < p < 1. Also, it may be helpful to provide some comments and examples to support our results.

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