Wednesday, November 15, 2017
4:00 pm

Arithmetic and Geometric Structures in Physics Seminar

A multiplier functional calculus
Michael Hartz, Department of Mathematics, Washington University in St. Louis

A functional calculus allows one to apply functions to operators on Hilbert space. For instance, a classical result of Sz.-Nagy and Foias shows that every contraction $T$ on a Hilbert space without unitary summand admits an $H^\infty$-functional calculus, that is, one can make sense of $f(T)$ for every bounded analytic function $f$ in the unit disc. I will talk about a generalization of this result, which applies to tuples of commuting operators and multipliers of a large class of Hilbert function spaces on the unit ball. This is joint work with Kelly Bickel and John McCarthy.

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