SonstigeVeranstaltungenMI A multiplier functional calculus |
Vortragende Person:Michael Hartz PhD, Washington University in St. Louis
Veranstalter:Mathematisches Institut
Beschreibung:
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.
Ähnliche Veranstaltungen nach Schlagwort finden:
Veranstaltungsart:Seminar
Veranstaltungssprache:Englisch
Kategorie:Forschung
Name der einladenden Person:Prof. R. Meyer
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Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=8541
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