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Autor:
Harsh Trivedi, Shankar Veerabathiran
Publikováno v:
Annals of Functional Analysis. 12
We obtain a Shimorin-Wold-type decomposition for a doubly commuting covariant representation of a product system of $C^*$-correspondences. This extends a recent Wold-type decomposition by Jeu and Pinto for a $q$-doubly commuting isometries. Applicati
Autor:
Shankar Veerabathiran, Harsh Trivedi
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-type decomposition for covariant representations of C*-correspondences
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