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Mathematical Sciences Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 3 > No. 2

 
   

On the Spectrum of Difference Operator Δab Over the Sequence Spaces ℓp and bvp, (1 < p < )

PP: 115-120
Author(s)
S. Dutta, P. Baliarsingh,
Abstract
The main purpose of the present paper is to determine the spectrum of the difference operator Dab over the sequence spaces ℓp and bvp, (1 < p < ). For any two sequences a = (ak) and b = (bk) of distinct, non zero real numbers and satisfying certain conditions, the difference operator Dab is defined by (Dabx)k = akxk +bk−1xk−1, where (xk) ∈ ℓp or bvp and x−1 = 0. Finally, we obtain the spectrum, point spectrum, residual spectrum and the continuous spectrum of the difference operator Dab over ℓp and bvp.

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