Papers by BT21EEE018 Sudhanshu Kumar
Applied Mathematics and Computation, 2012
The purpose of this paper is to determine spectrum and fine spectrum of the operator ∆ v on seque... more The purpose of this paper is to determine spectrum and fine spectrum of the operator ∆ v on sequence space l 1. The operator ∆ v on l 1 is defined by ∆ v x = (v n x n − v n−1 x n−1) ∞ n=0 with x −1 = 0, where x = (x n) ∈ l 1 and v = (v k) is either constant or strictly decreasing sequence of positive real numbers satisfying certain conditions. In this paper we have obtained the results on spectrum and point spectrum for the operator ∆ v over the sequence space l 1. Further, the results on continuous spectrum, residual spectrum and fine spectrum of the operator ∆ v on space l 1 are also derived
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Papers by BT21EEE018 Sudhanshu Kumar