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Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra
Part of
- Boundary value problems
- Operator theory: Ordinary differential operators
Zhaowen Zheng, Jiangang Qi, Jing Shao
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 6 / December 2023

Published online by Cambridge University Press:

18 November 2022, pp. 1883-1905

Print publication:

December 2023
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In this paper, we study the Friedrichs extensions of Sturm–Liouville operators with complex coefficients according to the classification of B. M. Brown et al. [3]. We characterize the Friedrichs extensions both by boundary conditions at regular endpoint and asymptotic behaviours of elements in the maximal operator domains at singular endpoint. Some of spectral properties are also involved.