Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential

Sergey N. Tumanov

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arXiv · 2503.16172

Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential

Sergey N. Tumanov

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Abstract

The aim of this paper is to find necessary and sufficient conditions for sectoriality and compactness of the resolvent for Sturm--Liouville operators with complex-valued potentials of the class $q\in W_{2,loc}^{-1}(\mathbb{R}_+)$ in terms of its generalized antiderivatives $s\in L_{2,loc}(\mathbb{R}_+)$.

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BibTeX RIS

Sergey N. Tumanov. 2025-03-20. Conditions for sectoriality and compactness of the resolvent for a non-self-adjoint Sturm--Liouville operator with singular distributional potential. https://arxiv.org/abs/2503.16172

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