Talk:Norm of Continuous Function is Continuous

$\norm f_Y$ is continuous?
I don't think you need to redefine $\norm f_Y$, but if you say:
 * $\norm f_Y$ is continuous

then it sounds that you would mean:
 * $f \mapsto \norm f_Y$ is continuous.

Of course, if one considers what makes sense, or not, then it is clear what you really mean.

Remember there are also a few people who say "Let $x \in U$ and let $\map g x \in \R$" to define a function $g : U \to \R$!

How about to say:
 * $x \mapsto \norm {\map f x}_Y$ is continuous?

--Usagiop (talk) 22:37, 18 March 2023 (UTC)