Abstract

In this paper we obtained spectrum and point spectrum of the operator Δ uv on l 1. The operator Δ uv on l 1 is defined as Δ uv x = ( u n x n + v n - 1 x n - 1 ) n = 0 ∞ under certain conditions, where x −1 = 0 and x = ( x n ) ∈ l 1. Further, the results on continuous spectrum, residual spectrum and fine spectrum of the operator Δ uv on the sequence space l 1 are also derived.

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