A multiplier algebra functional calculus.
Publication Date
2018
Description
This paper generalizes the classical Sz.-Nagy–Foias H∞(D) functional calculus for Hilbert space contractions. In particular, we replace the single contraction T with a tuple T = (T1,...,Td) of commuting bounded operators on a Hilbert space and replace H∞(D) with a large class of multiplier algebras of Hilbert function spaces on the unit ball in Cd.
Journal
Transactions of the American Mathematical Society
Volume
370
Issue
12
First Page
8467
Last Page
8482
Department
Mathematics
Open Access
Link to OA full text
Link to Published Version
https://www.ams.org/journals/tran/2018-370-12/S0002-9947-2018-07381-0/S0002-9947-2018-07381-0.pdf
Recommended Citation
Kelly Bickel, Michael Hartz and John E. McCarthy. Trans. Amer. Math. Soc. 370 (2018), 8467-8482