Article ID Journal Published Year Pages File Type
4630497 Applied Mathematics and Computation 2012 8 Pages PDF
Abstract

In this paper we obtained spectrum and point spectrum of the operator Δuv on l1. The operator Δuv on l1 is defined as Δuvx=(unxn+vn-1xn-1)n=0∞ under certain conditions, where x−1 = 0 and x = (xn) ∈ l1. Further, the results on continuous spectrum, residual spectrum and fine spectrum of the operator Δuv on the sequence space l1 are also derived.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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