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arXiv 2003.04090math.FA
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循环$2$ -等距的Cauchy对偶次正规性问题

The Cauchy dual subnormality problem for cyclic $2$-isometries

Akash Anand, Sameer Chavan, Zenon Jan Jabłoński, Jan Stochel

摘要:

柯西对偶次正规问题是关于$2$ -等距的柯西对偶算子是否次正规的问题。最近,这个问题得到了消极的解决。在这里,我们表明,它有一个负的解决方案,甚至在类循环$2$ -等距。

英文摘要:

The Cauchy dual subnormality problem asks whether the Cauchy dual operator of a $2$-isometry is subnormal. Recently this problem has been solved in the negative. Here we show that it has a negative solution even in the class of cyclic $2$-isometries.

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