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Wednesday, November 15, 2017
4:00 PM - 5:00 PM
Lauritsen 469

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.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].