Anna Skripka
(University of New Mexico)
April 30, 2021
Organized by Americas GNCG Seminar.

Approximation of functions of unbounded operators

We will discuss recent advancements in approximation of functional calculus arising in problems of mathematical physics and noncommutative geometry. Our goal is to establish nice bounds and representations for (semi-)norms of approximation errors. Challenges arise, in particular, from noncommutativity of a perturbation and initial unbounded operator as well as noncompactness of the perturbation. Successful resolution rests on multilinear operator integration, a powerful technical method with a long history in noncommutative analysis.

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