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Notes on (the Birmak-Krein-Vishik theory on) selfadjoint extensions of semibounded symmetric operators. (arXiv:1807.05363v1 [math.FA])
来源于:arXiv
We give an explicit and versatile parametrization of all positive selfadjoint
extensions of a densely defined, closed, positive operator. In addition, we
identify the Friedrichs extension by specifying the parameter to which it
corresponds.
This is a manuscript that was circulated as the first part of the preprint
"Two papers on selfadjoint extensions of symmetric semibounded operators",
INCREST Preprint Series, July 1981, Bucharest, Romania, but never published. In
this LaTeX typeset version, only typos and a few inappropriate formulations
have been corrected, with respect to the original manuscript. I decided to post
it on arXiv since, taking into account recent articles, the results are still
of current interest. Tiberiu Constantinescu died in 2005. 查看全文>>