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math.OA2019★ 5 cited
Generating wandering subspaces for doubly commuting covariant representations
Harsh Trivedi, Shankar Veerabathiran
We obtain a Halmos-Richter-type wandering subspace theorem for covariant representations of C*-correspondences. Further the notion of Cauchy dual and a version of Shimorin's Wold-t…
math.OA2019★ 4 cited
Doubly commuting invariant subspaces for representations of product systems of -correspondences
Harsh Trivedi, Shankar Veerabathiran
We obtain a Shimorin-Wold-type decomposition for a doubly commuting covariant representation of a product system of -correspondences. This extends a recent Wold-type decomposi…