5 papers · 1 filter
Gelfand transforms and boundary representations of complete Nevanlinna--Pick quotients
Raphaël Clouâtre, Edward J. Timko
The main objects under study are quotients of multiplier algebras of certain complete Nevanlinna--Pick spaces, examples of which include the Drury--Arveson space on the ball and th…
Localizable points in the support of a multiplier ideal and spectra of constrained operators
Raphaël Clouâtre, Edward J. Timko
A unitarily invariant, complete Nevanlinna--Pick kernel on the unit ball determines a class of operators on Hilbert space called -contractions. We study those -contractio…
Multipliers and operator space structure of weak product spaces
Raphaël Clouâtre, Michael Hartz
In the theory of reproducing kernel Hilbert spaces, weak product spaces generalize the notion of the Hardy space . For complete Nevanlinna-Pick spaces , we charact…
A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor
Raphaël Clouâtre, Michael Hartz, Dominik Schillo
We provide a short argument to establish a Beurling-Lax-Halmos theorem for reproducing kernel Hilbert spaces whose kernel has a complete Nevanlinna-Pick factor. We also record fact…
Row contractions annihilated by interpolating vanishing ideals
Raphaël Clouâtre, Edward J. Timko
We study similarity classes of commuting row contractions annihilated by what we call higher order vanishing ideals of interpolating sequences. Our main result exhibits a Jordan-ty…