Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs

Given a directed Cartesian product T of locally finite, leafless, rooted directed trees T1,…,Td of finite joint branching index, one may associate with T the Drury-Arveson-type C[z1,…,zd]-Hilbert module Hca(T) of vector-valued holomorphic functions on the unit ball Bd in Cd, where a>0. The main r...

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Veröffentlicht in:Journal of operator theory 2019-12, Vol.81 (1), p.21-60
Hauptverfasser: Chavan, Sameer, Pradhan, Deepak Kumar, Trivedi, Shailesh
Format: Artikel
Sprache:eng
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