WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
WOLD DECOMPOSITION FOR REPRESENTATIONS OF PRODUCT SYSTEMS OF C*-CORRESPONDENCES
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 …