WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
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DOI：
10.1142/s0129167x08004765
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发表时间：
2007-02
影响因子：
0.6
通讯作者：
Adam G. Skalski;J. Zacharias
中科院分区：
文献类型：
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作者：
Adam G. Skalski;J. Zacharias
高阶版本的Wold分解的C*-对应的乘积系统的双重交换等距表示，推广了经典的结果，由于Slocinski的双重交换对等距。某些分解也得到了一般的，不一定是双重交换，情况下，并提供了几个推论和例子。讨论了将等距表示推广到完全余等距表示的可能性。
Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over , generalizing the classical result for a doubly commuting pair of isometries due to Slocinski. Certain decompositions are also obtained for the general, not necessarily doubly commuting, case and several corollaries and examples are provided. Possibilities of extending isometric representations to fully coisometric ones are discussed.