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Friday, October 20, 2017

Friday, October 20, 2017 — 3:30 PM EDT

Title: The Paulsen problem, continuous operator scaling, and smoothed analysis

Speaker: Tsz Chiu Kwok Affiliation: University of Waterloo Room: MC 5501

Abstract:

The Paulsen problem is a basic open problem in operator theory: Given vectors u1, ..., un in Rd that are eps-nearly satisfying the Parseval's condition and the equal norm condition, is it close to a set of vectors v1, ..., vn in Rd that exactly satisfy the Parseval's condition and the
equal norm condition? Given u1,..., un, we consider the squared distance to the set of exact solutions.

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