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Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Symmetric operator Defect subspace Self-adjoint extension
2011/2/22
Let H be a Hilbert space and let A be a simple symmetric operator in H with equal deficiency indices d := n±(A) < 1. We show that if, for all in an open interval I R, the dimension of defect subsp...