Khalid Latrach and Abdelkader DEHICI (2003) Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results. International Journal of Mathematics and Mathematical Sciences , 2003(22), 1421-1431, Hindawi
Scientific Publications
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Abstract
Let (U(t))t≥0 be a C0-semigroup of bounded linear operators on a Banach space X. In this paper, we establish that if, for some t0>0, U(t0) is a Fredholm (resp., semi-Fredholm) operator, then (U(t))t≥0 is a Fredholm (resp., semi-Fredholm) semigroup. Moreover, we give a necessary and sufficient condition guaranteeing that (U(t))t≥0 can be imbedded in a C0-group on X. Also we study semigroups which are near the identity in the sense that there exists t0>0 such that U(t0)−I∈
Information
| Item Type | Journal |
|---|---|
| Divisions |
» Faculty of Science and Technology |
| ePrint ID | 240 |
| Date Deposited | 2014-12-19 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/240 |
BibTex
@article{uniusa240,
title={Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results},
author={Khalid Latrach and Abdelkader DEHICI},
journal={International Journal of Mathematics and Mathematical Sciences}
year={2003},
volume={2003},
number={22},
pages={1421-1431},
publisher={Hindawi}
}
title={Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results},
author={Khalid Latrach and Abdelkader DEHICI},
journal={International Journal of Mathematics and Mathematical Sciences}
year={2003},
volume={2003},
number={22},
pages={1421-1431},
publisher={Hindawi}
}