Operator-valued trigonometric moment and \(L\)-moment problems. (English) Zbl 1211.47015
In this note, two Hausdorff moment problems are studied. First, the solution of certain complex matrix-valued moment problem, obtained in a preprint by the author, is applied to solve a trigonometric moment problem with values in complex \(k\)-dimensional matrices. Then, an \(L\)-scalar moment problem generated by two different complex matrix-valued moment sequences which are in a prescribed order relation is investigated.
Reviewer: Isabel Marrero (La Laguna)
MSC:
47A57 | Linear operator methods in interpolation, moment and extension problems |
44A60 | Moment problems |
15B57 | Hermitian, skew-Hermitian, and related matrices |