Strong continuity
= Strong continuity
An operator family $U(t)$ is strongly continuous when $t\mapsto U(t)x$ is norm-continuous for every vector $x$. This is continuity in the <strong operator topology>.
= Strong continuity
An operator family $U(t)$ is strongly continuous when $t\mapsto U(t)x$ is norm-continuous for every vector $x$. This is continuity in the <strong operator topology>.