Abstract.
A model for a class of cyclic analytic 2-isometries acting on Pontryagin spaces is given, generalizing a Hilbert space version given by S. Richter. Furthermore, an example is constructed showing that, unlike in the Hilbert space case, a cyclic analytic 2-isometry need not have a cyclic vector in the orthogonal complement of its range.
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Hellings, C. Two-Isometries on Pontryagin Spaces. Integr. equ. oper. theory 61, 211–239 (2008). https://doi.org/10.1007/s00020-008-1582-9
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DOI: https://doi.org/10.1007/s00020-008-1582-9