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Keywords:
$C_0$-semigroups; universal elements
$C_0$-semigroups; universal elements
Summary:
Let $T:[0, \infty) \to L(E)$ be a $C_0$-semigroup with unbounded generator $A:D(A)\to E$. We prove that $(T(t)x-x)/t$ has generically a very irregular behaviour for $x\notin D(A)$ as $t \to 0+$.
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