Work

Wold Decomposition for Representations of Product Systems of C*-correspondences

Year: 2008

Type: article

Abstract: Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over [Formula: see text], generalizing the classical result for a doubly commuting pair of isometries due to Słociński. 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.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x08004765

Authors: ADAM SKALSKI, JOACHIM ZACHARIAS

Institution: University of Nottingham

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: G3227172457