3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.OA2022
Free noncommutative hereditary kernels: Jordan decomposition, Arveson extension, kernel domination
Joseph A. Ball, Gregory Marx, Victor Vinnikov
We discuss a (i) quantized version of the Jordan decomposition theorem for a complex Borel measure on a compact Hausdorff space, namely, the more general problem of decomposing a g…
math.FA2016★ 3 cited
Interpolation and transfer-function realization for the noncommutative Schur-Agler class
Joseph A. Ball, Gregory Marx, Victor Vinnikov
The Schur-Agler class consists of functions over a domain satisfying an appropriate von Neumann inequality. Originally defined over the polydisk, the idea has been extended to gene…
math.OA2016
Noncommutative reproducing kernel Hilbert spaces
Joseph A. Ball, Gregory Marx, Victor Vinnikov
The theory of positive kernels and associated reproducing kernel Hilbert spaces, especially in the setting of holomorphic functions, has been an important tool for the last several…