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://www.univ-soukahras.dz/en/publication/article/240

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