The matrix Stieltjes moment problem: a description of all solutions
Abstract
We describe all solutions of the matrix Stieltjes moment problem in the general case (no conditions besides solvability are assumed). We use Krein's formula for the generalized $\Pi$-resolvents of positive Hermitian operators in the form of V.A Derkach and M.M. Malamud.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2010
- DOI:
- arXiv:
- arXiv:1002.4511
- Bibcode:
- 2010arXiv1002.4511Z
- Keywords:
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- Mathematics - Functional Analysis;
- 44A60
- E-Print:
- 21 pages