Properties of subgenerators of 𝐶-regularized semigroups

Wang, Sheng

doi:10.1090/S0002-9939-98-04145-8

Properties of subgenerators of $C$-regularized semigroups
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Proc. Amer. Math. Soc. 126 (1998), 453-460 Request permission

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 ${\mathcal {G}} .$

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