From which well-known mathematician is this theorem on spectral radius come from?

Question

Here is the statement :

Let $A \in \mathcal{M}_n(\mathbb{C})$. Then for any submultiplicative matrix norm $N$ (induced or not) we have : $\rho(A) \le N(A)$, where $\rho$ is the spectral radius of $A$.

So from which well-known mathematicians this little result come from ? According to several references, it could be Browne or Hirsch but it is not clear...

Thanks in advance !