Browsing by Keywords "Drury-Arveson space"
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Quaternionic Hilbert spaces and a von Neumann inequality
(Taylor & Francis, 2012)We show that Drury's proof of the generalisation of the von Neumann inequality to the case of contractive rows of N-tuples of commuting operators still holds in the quaternionic case. The arguments require a seemingly new ... -
Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality
(Elsevier, 2021-04-22)On harmonic function spaces, we define shift operators using zonal harmonics and partial derivatives, and develop their basic properties. These operators turn out to be multiplications by the coordinate variables followed ...
