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

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Wold decomposition for isometric representations of product systems of C*-correspondences. / Skalski, Adam G.; Zacharias, Joachim.
In: International Journal of Mathematics, 08.05.2007.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Skalski, AG & Zacharias, J 2007, 'Wold decomposition for isometric representations of product systems of C*-correspondences.', International Journal of Mathematics. <http://arxiv.org/abs/math/0702649>

APA

Skalski, A. G., & Zacharias, J. (2007). Wold decomposition for isometric representations of product systems of C*-correspondences. International Journal of Mathematics. http://arxiv.org/abs/math/0702649

Vancouver

Skalski AG, Zacharias J. Wold decomposition for isometric representations of product systems of C*-correspondences. International Journal of Mathematics. 2007 May 8.

Author

Skalski, Adam G. ; Zacharias, Joachim. / Wold decomposition for isometric representations of product systems of C*-correspondences. In: International Journal of Mathematics. 2007.

Bibtex

@article{0e98da3524d04c0fb5eae4634a3f88f3,
title = "Wold decomposition for isometric representations of product systems of C*-correspondences.",
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.",
author = "Skalski, {Adam G.} and Joachim Zacharias",
note = "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",
year = "2007",
month = may,
day = "8",
language = "English",
journal = "International Journal of Mathematics",
issn = "1793-6519",
publisher = "World Scientific Publishing Co. Pte Ltd",

}

RIS

TY - JOUR

T1 - Wold decomposition for isometric representations of product systems of C*-correspondences.

AU - Skalski, Adam G.

AU - Zacharias, Joachim

N1 - 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

PY - 2007/5/8

Y1 - 2007/5/8

N2 - 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.

AB - 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.

M3 - Journal article

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 1793-6519

ER -