Dilation, functional model and a complete unitary invariant for C.₀ Γ_n-contractions

2017/08/20 by Pal, Sourav
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1708.06015

Abstract

A commuting tuple of operators (S₁,…, S_n-1,P), defined on a Hilbert space \mathcal H, for which the closed symmetrized polydisc \[ Γ_n =\ (∑_{1≤ i≤ n} z_i,∑_1≤ i

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