Daniel Seco : On the minimum number of Toeplitz
factors of a matrix and connections with
operator theory

Abstract: Recently, Ye and Lim showed that every n × n matrix can be decomposed as the product of 2n + 5 Toeplitz matrices, and generically as ⌊n/2⌋ + 1. They proposed a conjecture claiming that the generic bound always holds. In this talk, we provide a counterexample to this conjecture. We will illustrate the relevance of such factorizations for potential
solutions to relevant problems in Operator Theory.