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Invertible weighted shift operators which are $m$-isometries
2013
Proceedings of the American Mathematical Society
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For a bounded linear operator T on a complex Hilbert space H, In this paper, for every even number m, we give an example of invertible (m + 1)-isometry which is not an m-isometry. Next we show that if T is an m-isometry, then the operator Δ T,m−1 is not invertible.
doi:10.1090/s0002-9939-2013-11701-6
fatcat:le2gw7gwqvhttiiyrj2evp3dhq