The matrix Stieltjes moment problem: a description of all solutions

Mathematics – Functional Analysis

Scientific paper

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21 pages

Scientific paper

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.

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