A Note on the Spectra of Forward Difference Operator on the Sequence Space l1

Authors

L. Nayak, Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar-751024, IndiaFollow
P. Baliarsingh, Institute of Mathematics and Applications, Bhubaneswar-751029, IndiaFollow
H. Dutta, Department of Mathematics, Guahati University, Guwahati-781014, IndiaFollow

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

Recommended Citation

Nayak, L.; Baliarsingh, P.; and Dutta, H. (2022) "A Note on the Spectra of Forward Difference Operator on the Sequence Space l1," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 17.
DOI: http://dx.doi.org/10.18576/amis/160217
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/17