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Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials. (English) Zbl 1283.34023
The principal purpose of this paper is to derive a streamlined version of the Weyl-Titchmarsh theory for Schrödinger operators on a finite or infinite interval with operator-valued potentials.
The results of the paper are new and interesting. The paper is well written and gives a contribution to the theory for differential operators with operator-valued potentials.

MSC:
34B20 Weyl theory and its generalizations for ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34B24 Sturm-Liouville theory
47E05 General theory of ordinary differential operators (should also be assigned at least one other classification number in Section 47-XX)
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