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Wold decomposition for isometric representations of product systems of C*-correspondences.

Skalski, Adam G. and Zacharias, Joachim (2007) Wold decomposition for isometric representations of product systems of C*-correspondences. International Journal of Mathematics.

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Abstract

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.

Item Type: Article
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
ID Code: 2403
Deposited By: ep_importer
Deposited On: 31 Mar 2008 15:22
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 16:20
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/2403

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