1 citations · 2 across the 5 of their papers we have counts for
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An invitation to the Drury-Arveson space
Michael Hartz
This is an extended version of a three part mini course on the Drury-Arveson space given as part of the Focus Program on Analytic Function Spaces and their Applications, hosted by…
Free outer functions in complete Pick spaces
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
Jury and Martin establish an analogue of the classical inner-outer factorization of Hardy space functions. They show that every function in a Hilbert function space with a norm…
The common range of co-analytic Toeplitz operators on the Drury-Arveson space
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
We characterize the common range of the adjoints of cyclic multiplication operators on the Drury--Arveson space. We show that a function belongs to this common range if and only if…
A Gleason-Kahane-Żelazko theorem for reproducing kernel Hilbert spaces
Cheng Chu, Michael Hartz, Javad Mashreghi +1
We establish the following Hilbert-space analogue of the Gleason-Kahane-Żelazko theorem. If is a reproducing kernel Hilbert space with a normalized complete Pick kern…
Every complete Pick space satisfies the column-row property
Michael Hartz
In the theory of complete Pick spaces, the column-row property has appeared in a variety of contexts. We show that it is satisfied by every complete Pick space in the following str…
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…