Frames with a given frame operator

Keri Kornelson, University of Oklahoma

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?