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arXiv · 2203.03504

S{\l}oci\'nski-Wold decompositions for row-isometries

Adam H. Fuller
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Abstract

S{\l}oci\'nski gave sufficient conditions for commuting isometries to have a nice Wold-like decomposition. In this note we provide analogous results for row-isometries satisfying certain commutation relations. Other than known results for doubly-commuting row-isometries, we provide sufficient condtions for a Wold decomposition based on the Lebesgue decomposition of the row-isometries.

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Adam H. Fuller. 2022-03-04. S{\l}oci\'nski-Wold decompositions for row-isometries. https://arxiv.org/abs/2203.03504

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