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math.OA2023
On boundary representations
Kenneth R. Davidson, Michael Hartz
Let be an operator system sitting in its C*-envelope . Starting with a pure state on , let be the face of state extensions to $C^*_{\mathrm{min}}(…
math.FA2023
Simply interpolating sequences in complete Pick spaces
Nikolaos Chalmoukis, Alberto Dayan, Michael Hartz
We characterize simply interpolating sequences (also known as onto interpolating sequences) for complete Pick spaces. We show that a sequence is simply interpolating if and only if…
math.FA2023
Spectra of Quotient Modules
Michael Didas, Jörg Eschmeier, Michael Hartz +1
We determine the Taylor spectra of quotient tuples of the -shift on Drury-Arveson spaces with finite-dimensional coefficient spaces. We show the the Taylor spectrum can be descr…