A trace formula and Schmincke inequality on the half-line

DOI10.1090/S0002-9939-08-09659-7zbMath1173.34053OpenAlexW2080388197MaRDI QIDQ3617594

Tuan, V. K., Amin Boumenir

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09659-7

zbMATH Keywords

trace formulainverse spectral theorynegative eigenvaluesSchmincke inequality

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Improved sharp spectral inequalities for Schrödinger operators on the semi-axis ⋮ On some sharp spectral inequalities for Schrödinger operators on semiaxis ⋮ Transmutation Operators and Their Applications ⋮ Trace formulas for Schrödinger operators on star graphs with general matching conditions ⋮ Trace formulas for Schrödinger operators on the half-line

Cites Work

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• On the Lieb-Thirring constants \(L_{\gamma, 1}\) for \(\gamma \geq 1/2\)
• A Comparison Theorem for Selfadjoint Operators
• On Schrödinger's factorization method for Sturm-Liouville operators
• On the double commutation method

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