ON AN OPERATOR APPROACH TO INTERPOLATION PROBLEMS FOR STIELTJES FUNCTIONS V. BOLOTNIKOV AND L. SAKHNOVICH A general interpolation problem for operator–valued Stieltjes functions is studied using V. P. Potapov’s method of fundamental matrix inequalities and the method
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چکیده
A general interpolation problem for operator–valued Stieltjes functions is studied using V. P. Potapov’s method of fundamental matrix inequalities and the method of operator identities. The solvability criterion is established and under certain restrictions the set of all solutions is parametrized in terms of a linear fractional transformation. As applications of a general theory, a number of classical and new interpolation problems are considered.
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