Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630497 | Applied Mathematics and Computation | 2012 | 8 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P.D. Srivastava, Sudhanshu Kumar,