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A 3×3 dilation counterexample.
- Source :
-
Bulletin of the London Mathematical Society . Jun2013, Vol. 45 Issue 3, p511-519. 9p. - Publication Year :
- 2013
-
Abstract
- We define four 3×3 commuting contractions which do not dilate to commuting isometries. However, they do satisfy the scalar von Neumann inequality. These matrices are all nilpotent of order 2. We also show that any three 3×3 commuting contractions which are scalar plus nilpotent of order 2 do dilate to commuting isometries. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00246093
- Volume :
- 45
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 87585228
- Full Text :
- https://doi.org/10.1112/blms/bds109