Abstract
It is known that every C·0-contraction has a dilation to a Hardy shift. This leads to an elegant analytic functional model for C·0-contractions, and has motivated lots of further works on the model theory and generalizations to commuting tuples of C·0-contractions. In this paper, we focus on doubly commuting sequences of C·0-contractions, and establish the dilation theory and the analytic model theory for these sequences of operators. These results are applied to generalize the Beurling-Lax theorem and Jordan blocks in the multivariable operator theory to the operator theory in the infinite-variable setting.
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