Skalski, Adam G. and Zacharias, Joachim (2007) Wold decomposition for isometric representations of product systems of C*-correspondences. International Journal of Mathematics.Full text not available from this repository.
Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over N^k, generalising the classical result for a doubly commuting pair of isometries due to M.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.
|Journal or Publication Title:||International Journal of Mathematics|
|Additional Information:||Posted on the arXiv: 8th May 2007. To appear in the International Journal of Mathematics: April 2008; accepted in final form: 6th May 2007. RAE_import_type : Internet publication RAE_uoa_type : Pure Mathematics|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited On:||31 Mar 2008 15:22|
|Last Modified:||26 Jul 2012 16:20|
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