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math.FA2020
The Cauchy dual subnormality problem for cyclic -isometries
Akash Anand, Sameer Chavan, Zenon Jan Jabłoński +1
The Cauchy dual subnormality problem asks whether the Cauchy dual operator of a -isometry is subnormal. Recently this problem has been solved in the negative. Here we show that…
math.FA2018
Analytic -isometries without the wandering subspace property
Akash Anand, Sameer Chavan, Shailesh Trivedi
The wandering subspace problem for an analytic norm-increasing -isometry on a Hilbert space asks whether every -invariant subspace of can be gen…
math.FA2018
Complete systems of unitary invariants for some classes of -isometries
Akash Anand, Sameer Chavan, Zenon Jan Jabłoński +1
The unitary equivalence of -isometric operators satisfying the so-called kernel condition is characterized. It relies on a model for such operators built on operator valued unil…