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Regularization of the fundamental matrix inequality for the problem on the decomposition of a positive definite kernel into the elementary poducts. (Russian. English summary) Zbl 0545.30026

The paper is a continuation of (*) ibid. 1984, No.2, 6-9 (1984). The author develops some ”technology” for the solution of the so-called ”principal matrix inequality” from (*). For the discussion of the problem and for most definitions a reader must consult (*).
Reviewer: N.M.Zobin

MSC:

30E05 Moment problems and interpolation problems in the complex plane
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators