Example of non-local operator

Question

Let $T: C_{0}^{\infty}(R^{n}) \to C^{\infty}(R^{n})$ be a linear operator. $T$ is local if $$\operatorname{supp} (Tu) \subset \operatorname{supp} (u),$$ for all $u \in C_{0}^{\infty}({R}^{n})$. We know all differential operators are local. But what is an example of non local operator?

Answer 1

For example $$ u \mapsto \int_{\mathbb R^n} u \, dx \cdot 1_{\mathbb R^n} $$ is a linear operator, which is non-local.