"A Note on the Spectra of Forward Difference Operator on the Sequence S" by L. Nayak, P. Baliarsingh et al.
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Applied Mathematics & Information Sciences

Author Country (or Countries)

India

Abstract

In this work, we compute the fine spectra of the forward difference operator ∆μ+ on l1, where μ = (μk) is a positive real sequence of non-increasing terms satisfying certain conditions. The point spectrum, the residual spectrum, the continuous spectrum, the spectrum and some fine spectra of the operator ∆μ+ on the Banach space l1 are computed which give a natural modifications of the results obtained in [7] and [11]. In this context, some illustrative examples are also provided.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160217

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