@article{Akinyele_Jimoh_Omosowon_Bello_2022, title={Results of Semigroup of Linear Operator Generating a Continuous Time Markov Semigroup}, volume={10}, url={https://earthlinepublishers.com/index.php/ejms/article/view/526}, DOI={10.34198/ejms.10122.97108}, abstractNote={<p>In this paper, we present results of $\omega$-order preserving partial contraction mapping creating a continuous time Markov semigroup. We use Markov and irreducible operators and their integer powers to describe the evolution of a random system whose state changes at integer times, or whose state is only inspected at integer times. We concluded that a linear operator $P:\ell^{1}(X_+)\rightarrow \ell^{1}(X_+)$ is a Markov operator if its matrix satisfies $P_{x,y}\geqslant 0$ and $\sum_{x\in X_+}P_{x,y=1}$ for all $y\in X$.</p>}, number={1}, journal={Earthline Journal of Mathematical Sciences}, author={Akinyele, Akinola Yussuff and Jimoh, Omotoni Ezekiel and Omosowon, Jude Babatunde and Bello, Kareem Akanbi}, year={2022}, month={Jun.}, pages={97-108} }