# Frames with a given frame operator

Speaker
Keri Kornelson, University of Oklahoma

Date/Time/Place
03/23/2016
3:30 pm - 4:30 pm, PHSC 1105

We study the following question: given a positive invertible operator $S$ on an $n$-dimensional Hilbert space, and positive numbers $c_1, c_2, \dotsc, c_k$, when is it possible to find vectors $x_1, x_2, \dotsc, x_k$ such that $\| x_j \|^2 = c_j$ for $1 \le j \le k$ and $S = \sum_{j=1}^k x_j \otimes x_j$?