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arXiv · 2108.04383

Unbounded multipliers of complete Pick spaces

Michael T. Jury·Robert T. W. Martin
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Abstract

We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna-Pick (CNP) kernel. For such a densely defined operator $T$, the domains of $T$ and $T^*$ are reproducing kernel Hilbert spaces contractively contained in the ambient space. We study several aspects of these spaces, especially the domain of $T^*$, which can be viewed as analogs of the classical deBranges-Rovnyak spaces in the unit disk.

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Michael T. Jury, Robert T. W. Martin. 2021-08-09. Unbounded multipliers of complete Pick spaces. https://arxiv.org/abs/2108.04383

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