
arXiv: math/0507155
In this paper we solve moment problems for Poisson transforms and, more generally, for completely positive linear maps on unital C*-algebras generated by ''universal'' row contractions associated with the free semigroup with n generators.
47A57, 42A82, 46L07, 46L54, free semigroups, moment problems, orbits, Mathematics - Operator Algebras, Positive definite functions in one variable harmonic analysis, Hilbert modules, Poisson transforms, Functional Analysis (math.FA), Mathematics - Functional Analysis, Cuntz-Toeplitz algebras, Free probability and free operator algebras, positive semidefinite kernels, \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, Operator Algebras (math.OA), Linear operator methods in interpolation, moment and extension problems
47A57, 42A82, 46L07, 46L54, free semigroups, moment problems, orbits, Mathematics - Operator Algebras, Positive definite functions in one variable harmonic analysis, Hilbert modules, Poisson transforms, Functional Analysis (math.FA), Mathematics - Functional Analysis, Cuntz-Toeplitz algebras, Free probability and free operator algebras, positive semidefinite kernels, \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, Operator Algebras (math.OA), Linear operator methods in interpolation, moment and extension problems
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