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The exact solution of system of linear operator equations in reproducing kernel spaces. (English) Zbl 1163.47003
The authors discuss the problem of obtaining the exact and approximate solution of a system of linear operator equations in Hilbert spaces, including the special case of reproducing kernel spaces. They give some examples and discuss the results of a numerical experiment which shows the efficiency of the suggested methods.

MSC:
47A50 Equations and inequalities involving linear operators, with vector unknowns
47B32 Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
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