Slocinski-Wold decompositions for row isometries

被引：0
|
作者：
Fuller, Adam H. [1 ]
机构：
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2023年 / 66卷 / 03期
关键词：
Wold decomposition; Lebesgue decomposition; row isometries; PRODUCT SYSTEMS; REPRESENTATIONS; ALGEBRAS;
D O I：
10.4153/S0008439522000686
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Slocinski 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.
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页码：780 / 790
页数：11
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