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Słociński-Wold decompositions for row-isometries

Published 4 Mar 2022 in math.FA and math.OA | (2203.03504v2)

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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Authors (1)

  1. Adam H. Fuller 

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