Abstract
Given a family \( \{ A_m^x \} _{\mathop {m \in \mathbb{Z}_ + ^d }\limits_{x \in X} } \) (X is a non-empty set) of bounded linear operators between the complex inner product space \( \mathcal{D} \) and the complex Hilbert space ℌ we characterize the existence of completely hyperexpansive d-tuples T = (T 1, … , T d ) on ℌ such that A xm = T m A x0 for all m ∊ ℤ d+ and x ∊ X.
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This work was supported by the MNiSzW grant N201 026 32/1350.
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Jabłoński, Z.J. A moment theorem for completely hyperexpansive operators. Acta Math Hung 120, 21–28 (2008). https://doi.org/10.1007/s10474-007-7077-3
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DOI: https://doi.org/10.1007/s10474-007-7077-3