Abstract
The well-known von Neumann inequality for commuting row contractions can be interpreted as saying that the tuple (Mz1 , . . . ,Mzn on the Drury-Arveson space H2n dominates every other commuting row contraction (A1, . . . , An). We show that a similar domination relation exists among certain pairs of "lesser" row contractions (B1, . . . , Bn) and (A1, . . . , An). This hints at a possible hierarchical structure among the family of commuting row contractions.
| Original language | English |
|---|---|
| Pages (from-to) | 219-239 |
| Number of pages | 21 |
| Journal | Journal of Operator Theory |
| Volume | 72 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Reproducing-kernel hilbert space
- Row contraction
- von neumann inequality
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