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

Published 9 Mar 2020 in math.FA | (2003.04090v1)

Abstract: 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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