On the Spectral Properties of the Weighted Mean Difference Operator over the Sequence Space

P. Baliarsingh and S. Dutta

International Journal of Analysis, 2014, vol. 2014, 1-7

Abstract:

In the present work the generalized weighted mean difference operator has been introduced by combining the generalized weighted mean and difference operator under certain special cases of sequences and . For any two sequences and of either constant or strictly decreasing real numbers satisfying certain conditions the difference operator is defined by with for all . Furthermore, we compute the spectrum and the fine spectrum of the operator over the sequence space . In fact, we determine the spectrum, the point spectrum, the residual spectrum, and the continuous spectrum of this operator on the sequence space .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:786437

DOI: 10.1155/2014/786437

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