A multiplier algebra functional calculus
K Bickel, M Hartz, J McCarthy�- Transactions of the American Mathematical�…, 2018 - ams.org
K Bickel, M Hartz, J McCarthy
Transactions of the American Mathematical Society, 2018•ams.orgThis paper generalizes the classical Sz.-Nagy–Foias $ H^{\infty}(\mathbb {D}) $ functional
calculus for Hilbert space contractions. In particular, we replace the single contraction $ T $
with a tuple $ T=(T_1,\dots, T_d) $ of commuting bounded operators on a Hilbert space and
replace $ H^{\infty}(\mathbb {D}) $ with a large class of multiplier algebras of Hilbert function
spaces on the unit ball in $\mathbb {C}^ d $. References
calculus for Hilbert space contractions. In particular, we replace the single contraction $ T $
with a tuple $ T=(T_1,\dots, T_d) $ of commuting bounded operators on a Hilbert space and
replace $ H^{\infty}(\mathbb {D}) $ with a large class of multiplier algebras of Hilbert function
spaces on the unit ball in $\mathbb {C}^ d $. References
Abstract
This paper generalizes the classical Sz.-Nagy–Foias functional calculus for Hilbert space contractions. In particular, we replace the single contraction with a tuple of commuting bounded operators on a Hilbert space and replace with a large class of multiplier algebras of Hilbert function spaces on the unit ball in . References
ams.org