Transform Norm

This is a Norm for a Linear Map.

Definition

1. With $V,W$ be Real Number or Complex Number Vector Spaces
2. With $T:V\to W$ as a Linear Map
3. With $||\cdot |{|}_v$ as a Norm for $V$
4. With $||\cdot |{|}_w$ as a Norm for $W$
5. Then, operator norm $||T|{|}_{op}=sup\{||T(v)|{|}_w:||v|{|}_v\le 1\}$