Two <norms> $\|\cdot\|$ and $\|\cdot\|'$ on one <vector space> are <equivalent norms>[Lipschitz equivalent] when constants $c,C>0$ exist such that
$$
\boxed{c\|v\|\leq\|v\|'\leq C\|v\|\quad\text{for every }v}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2019 / ib / Paper 2 / 12E / a / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ib/paper-2/12e/a/i/solution