Some Result of Stability and Spectra Properties on Semigroup of Linear Operator - Advances in Pure Mathematics

APM > Vol.9 No.1, January 2019

Some Result of Stability and Spectra Properties on Semigroup of Linear Operator ()

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DOI: 10.4236/apm.2019.91003 856 Downloads 1,850 Views Citations

Author(s)

Kamilu Rauf^*, Akinola Yussuff Akinyele, Mfon Okon Etuk, Rafiu Obashola Zubair, Moses Adebowale Aasa

Affiliation(s)

Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

ABSTRACT

This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω-order preserving partial contraction mapping (ω-OCP_n) are obtained. The results show that operators on the proposed ω-OCP_n are densely defined and closed. Several existing results in the literature are contained in this work.

KEYWORDS

Contraction Mapping, Semigroup, Banach Space, Resolvent and Bounded Operator

Share and Cite:

Rauf, K. , Akinyele, A. , Etuk, M. , Zubair, R. and Aasa, M. (2019) Some Result of Stability and Spectra Properties on Semigroup of Linear Operator. Advances in Pure Mathematics, 9, 43-51. doi: 10.4236/apm.2019.91003.

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