Central intertwining lifting, suboptimization, and interpolation in several variables
This paper deals with the noncommutative analytic Toeplitz algebra \(F_n^\infty\) which can be viewed as a multivariable noncommutative analogue of the Hardy space \(H^\infty\). The main result is a Kaftal-Larson-Weiss type suboptimization theorem for the \(H^\infty\) and \(H^2\) norms. In order to obtain this result, the author provides first an explicit central intertwining lifting theorem for row contractions. The paper contains also some interesting related results.
central intertwining lifting theorem for row contractions
noncommutative analog of Hardy space \(H^\infty\)
noncommutative analytic Toeplitz algebra
scientific article; zbMATH DE number 1747018
scientific article