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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Properties of subgenerators
of $C-$regularized semigroups


Author: Sheng Wang Wang
Journal: Proc. Amer. Math. Soc. 126 (1998), 453-460
MSC (1991): Primary 47D05, 47D06, 47F05
MathSciNet review: 1423337
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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}} .$


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04145-8
PII: S 0002-9939(98)04145-8
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
Article copyright: © Copyright 1998 American Mathematical Society