Minimal scalings and structural properties of scalable frames

Alice Chan, Rachel Domagalski, Yeon Hyang Kim +3

For a unit-norm frame $F=\{f_i{\}}_{i=1}^k$ in ${\mathbb{R}}^n$, a scaling is a vector $c=(c(1),\dots ,c(k))\in {\mathbb{R}}_{\ge 0}^k$ such that $\{\sqrt{c(i)}{f}_i{\}}_{i=1}^k$ is a Parseval frame in $…