English

The matrix Stieltjes moment problem: a description of all solutions

Functional Analysis 2010-02-25 v1

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 Π\Pi-resolvents of positive Hermitian operators in the form of V.A Derkach and M.M. Malamud.

Keywords

Cite

@article{arxiv.1002.4511,
  title  = {The matrix Stieltjes moment problem: a description of all solutions},
  author = {Sergey M. Zagorodnyuk},
  journal= {arXiv preprint arXiv:1002.4511},
  year   = {2010}
}

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21 pages