Self-adjointness via partial Hardy-like inequalities

Details Self-adjointness via partial Hardy-like inequalities Self-adjointness via partial Hardy-like inequalities

2008-05-30

arxiv.org/abs/0805.4675v1

Mathematics

Analysis of PDEs

Scientific paper

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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