SonstigeVeranstaltungenMI A multiplier functional calculus |  |
Speaker:Michael Hartz PhD, Washington University in St. Louis
Organizer:Mathematisches Institut
Details:
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.
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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Type:Seminar
Language:English
Category:Research
Host:Prof. R. Meyer
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Direct link to event:https://events.goettingen-campus.de/event?eventId=8541
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