4 papers
Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert…
Transfer-function realization for multipliers of the Arveson space
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
An interesting and recently much studied generalization of the classical Schur class is the class of contractive operator-valued multipliers for the reproducing kernel Hilbert spac…
Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
We introduce and study a Fock-space noncommutative analogue of reproducing kernel Hilbert spaces of de Branges-Rovnyak type. Results include: use of the de Branges-Rovnyak space ${…
Multivariable backward-shift-invariant subspaces and observability operators
Joseph A. Ball, Vladimir Bolotnikov, Quanlei Fang
It is well known that subspaces of the Hardy space over the unit disk which are invariant under the backward shift occur as the image of an observability operator associated with a…