Generalized Strawn conjecture for strictly convex unitarily invariant norms
Let S∈Md(C)+S\in\mathcal{M}_d(\mathbb{C})^+S∈Md(C)+ and a=(ai)i∈Ik∈(R>0k)↓\mathbf{a}=(a_i)_{i\in\mathbb{I}_k}\in(\mathbb{R}^k_{>0})^\downarrowa=(ai)i∈Ik∈(R>0k)↓. Define … For G∈Td(a)\mathcal G\in\mathbb T_d(\mathbf a)G∈Td(a), write…