Properties of subgenerators of $C$-regularized semigroups
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- by Sheng Wang Wang PDF
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Abstract:
We introduce two operations $\wedge$,$\vee$ in the set ${\mathcal {G}}$ of subgenerators of a given $C$ - regularized semigroup and prove that ${\mathcal {G}}$ is a complete partially ordered lattice with respect to $\wedge$,$\vee$ and the operator inclusion $\subseteq$. Also presented are some other properties and examples for ${\mathcal {G}} .$References
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Additional Information
- Sheng Wang Wang
- Affiliation: Department of Mathematics, Nanjing University, Nanjing 210093, The People’s Republic of China
- Email: wang2598@netra.nju.edu.cn
- Received by editor(s): December 14, 1995
- Received by editor(s) in revised form: April 19, 1996, and August 8, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 453-460
- MSC (1991): Primary 47D05, 47D06, 47F05
- DOI: https://doi.org/10.1090/S0002-9939-98-04145-8
- MathSciNet review: 1423337