A Nagy-Foias program for a c.n.u. ${\Gamma }_n$-contraction

Bappa Bisai, Sourav Pal

A tuple of commuting Hilbert space operators $(S_1,\dots ,S_{n-1},P)$ having the closed symmetrized polydisc \[ Γ_n = \left\{ \left(\sum_{i=1}^{n}z_i, \sum\limits_{1\leq i<j\leq…