Abstract
We give a necessary and sufficient condition for a double indexed sequence {h n m } of vectors in a Hilbert space such that it can be represented in the form h n m = T m S n h 00 , (∀)m, n ∈ N, where (T,S) is a pair of commuting contractions having regular unitary dilation.
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References
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B. Sz.-Nagy and C. Foiaş, Analyse harmonique des operateurs de l’espace de Hilbert, Masson et Cie, Akadémiai Kiadó (Budapest, 1967).
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Gãvruţã, P., Pãunescu, D. Sebestyén’s moment problem and regular dilations. Acta Math Hung 94, 223–232 (2002). https://doi.org/10.1007/s10474-002-0005-4
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DOI: https://doi.org/10.1007/s10474-002-0005-4