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Self-adjoint extensions with Friedrichs lower bound

Published 21 Mar 2020 in math.FA, math-ph, and math.MP | (2003.09631v1)

Abstract: We produce a simple criterion and a constructive recipe to identify those self-adjoint extensions of a lower semi-bounded symmetric operator on Hilbert space which have the same lower bound as the Friedrichs extension. Applications of this abstract result to a few instructive examples are then discussed.

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