# Homework Help: What does it mean to be strictly-strictly continuous?

1. Aug 13, 2012

### CornMuffin

What does it mean to be "strictly-strictly" continuous?

I am unsure what it means to be "strictly-strictly" continuous. Is that the same thing as saying just "strictly" continuous?

Here is the context:
$\alpha$ is a unital $*$-homomorphism from $M(A)$ to $\mathcal{L}(A)$ such that $\alpha$ is strictly-strictly continuous on the unit ball of $M(A)$

($M(A)$ is the multiplier algebra of $A$, and $\mathcal{L}(A)$ is the set of adjointable operators on $A$)