Self-adjointness via partial Hardy-like inequalities
classification
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math-phmath.MPmath.SP
keywords
distinguishedextensionshardy-likeoperatorsselfadjointamountsapplicationscases
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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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