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arXiv · 0805.4675

Self-adjointness via partial Hardy-like inequalities

Maria J. Esteban·Michael Loss
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Abstract

Distinguished selfadjoint extensions of operators which are not semibounded can be deduced from the positivity of the Schur Complement (as a quadratic form). In practical applications this amounts to proving a Hardy-like inequality. Particular cases are Dirac-Coulomb operators where distinguished selfadjoint extensions are obtained for the optimal range of coupling constants.

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Maria J. Esteban, Michael Loss. 2008-05-30. Self-adjointness via partial Hardy-like inequalities. https://doi.org/10.1142/9789812832382_0004

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