Equation 10.7.12E4884F8C8C74

\begin{equation} \varphi _ k=\frac1k\log \sup _{\| s\| _ k\leq 1}|s|_{h_0^ k\otimes h_ T}^2 =\frac1k\log \sum _{i=1}^{d_ k}|s_ i|_{h_0^ k\otimes h_ T}^2. \end{equation}