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.
Self-Adjoint Extensions with Friedrichs Lower Bound / M. Gallone, A. Michelangeli. - In: COMPLEX ANALYSIS AND OPERATOR THEORY. - ISSN 1661-8254. - 14:7(2020 Oct), pp. 73.1-73.23. [10.1007/s11785-020-01032-z]
Self-Adjoint Extensions with Friedrichs Lower Bound
M. Gallone
;
2020
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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