科研之友
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摘要
We define four 3x3 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 3x3 commuting contractions which are scalar plus nilpotent of order 2 do dilate to commuting isometries.
- 出版日期2013-6
