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Simply interpolating sequences in complete Pick spaces by Chalmoukis, Nikolaos; Dayan, Alberto; Hartz, Michael is a scholarly article available to read on EtoBox.

What is Simply interpolating sequences in complete Pick spaces about?

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 it is strongly separated. This answers a question of Agler and McCarthy. Moreover, we show that in many important examples of complete Pick spaces, including weighted Dirichlet spaces on the unit disc and the Drury-Arveson space in finitely many variables, simple interpolation does not imply multiplier interpolation. In fact, in those spaces, we construct simply interpolating sequences that generate infinite measures, and uniformly separated sequences that are not multiplier interpolating.

Author

Chalmoukis, Nikolaos; Dayan, Alberto; Hartz, Michael

Published

2023

Language

EN