Embedding operators into strongly continuous semigroups

Details Embedding operators into strongly continuous semigroups Embedding operators into strongly continuous semigroups

2008-08-18

arxiv.org/abs/0808.2419v1

Arch. Math. (Basel) 92 (2009), 451-460

Mathematics

Functional Analysis

7 pages

Scientific paper

We study linear operators $T$ on Banach spaces for which there exists a
$C_0$-semigroup $(T(t))_{t\geq 0}$ such that $T=T(1)$. We present a necessary
condition in terms of the spectral value 0 and give classes of examples where
this can or cannot be achieved.

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