Abstract
We show that Drury's proof of the generalisation of the von Neumann inequality to the case of contractive rows of N-tuples of commuting operators still holds in the quaternionic case. The arguments require a seemingly new result on tensor products of quaternionic Hilbert spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 667-675 |
| Number of pages | 9 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 57 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Jun 2012 |
Keywords
- Drury-Arveson space
- quaternionic Hilbert spaces
- reproducing kernel Hilbert spaces
- tensor products
- von Neumann inequality
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
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