Geodesic
Słociński–Wold decompositions for row isometries
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 780-790

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DOI

Słociński 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 conditions for a Wold decomposition based on the Lebesgue decomposition of the row isometries.
DOI : 10.4153/S0008439522000686
Mots-clés : Wold decomposition, Lebesgue decomposition, row isometries 
Fuller, Adam H. Słociński–Wold decompositions for row isometries. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 780-790. doi: 10.4153/S0008439522000686
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     author = {Fuller, Adam H.},
     title = {S{\l}oci\'nski{\textendash}Wold decompositions for row isometries},
     journal = {Canadian mathematical bulletin},
     pages = {780--790},
     year = {2023},
     volume = {66},
     number = {3},
     doi = {10.4153/S0008439522000686},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000686/}
}
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