New York Journal of Mathematics
Volume 18 (2012) 479-497

  

Sergey M. Zagorodnyuk

The matrix Stieltjes moment problem: a description of all solutions

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Published: June 22, 2012
Keywords: moment problem, Hermitian operator, generalized resolvent
Subject: 44A60

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.

Author information

School of Mathematics and Mechanics, Karazin Kharkiv National University, Svobody sq., 4, Kharkiv 61077, Ukraine
Sergey.M.Zagorodnyuk@univer.kharkov.ua