2006/07/23 by Chafiq Benhida, Benhida, Chafiq, Dan Timotin +1
Mathematics · #47A13 #47A45 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:47A13 #msc:47A45
paper · pdf · doi:10.48550/arxiv.math/0607578
arxiv created 2006/07/23 · openalex publication_date 2006/07/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the theory of row contractions on a Hilbert space, as initiated by Popescu, two important objects are the Poisson kernel and the characteristic function. We determine their behaviour with respect to the action of the group of unitarily implemented automorphisms of the algebra generated by creation operators on the Fock space. The case of noncommutative varieties, introduced recently by Popescu, is also discussed.