A moment theorem for completely hyperexpansive operators |
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| Authors: | Z J Jab?oński |
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| Institution: | 1. Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059, Kraków, Poland
2. Instytut Techniczny, PWSZ, ul. Zamenhofa 1A, PL-33300, Nowy Sa?cz, Poland
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| 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 ? we characterize the existence of completely hyperexpansive d-tuples T = (T 1, … , T d ) on ? such that A m x = T m A 0 x for all m ? ? + d and x ? X. |
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