Let $E$ is the set of maps belongs with class $C^{1}$ on $[0;1]$ satisfies that $f(0)=0;N,N':E \rightarrow \mathbb{R}$ are maps determined:
$f(0)=0;N,N':E \rightarrow \mathbb{R}$; $N'(f)= Sup_{t \in [0;1]} |f'(t)|$
prove that $N,N'$ are norms in $E$;but they aren't equivalent.
Bài viết đã được chỉnh sửa nội dung bởi happyfree: 05-07-2016 - 18:04