26 citations · 92 across the 35 of their papers we have counts for
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The bitangential matrix Nevanlinna-Pick interpolation problem revisited
Joseph A. Ball, Vladimir Bolotnikov
We revisit four approaches to the BiTangential Operator Argument Nevanlinna-Pick (BTOA-NP) interpolation theorem on the right half plane: (1) the state-space approach of Ball-Gohbe…
de Branges-Rovnyak spaces and norm-constraint interpolation
Joseph A. Ball, Vladimir Bolotnikov
For a contractive analytic operator-valued function on the unit disk , de Branges and Rovnyak associate a Hilbert space of analytic functions . A…
de Branges-Rovnyak spaces: basics and theory
Joseph A. Ball, Vladimir Bolotnikov
For a contractive analytic operator-valued function on the unit disk , de Branges and Rovnyak associate a Hilbert space of analytic functions and…
Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
Joseph A. Ball, Vladimir Bolotnikov
The Sz.-Nagy--Foias model theory for contraction operators combined with the Beurling-Lax theorem establishes a correspondence between any two of four kinds of object…
Contractive multipliers from Hardy space to weighted Hardy space
Joseph A. Ball, Vladimir Bolotnikov
It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multi…
Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems
Joseph A. Ball, Vladimir Bolotnikov
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…