Self-Adjoint Extensions with Friedrichs Lower Bound

被引：0

作者：

Matteo Gallone

Alessandro Michelangeli

机构：

[1] Università degli Studi di Milano,Dipartimento di Matematica

[2] University of Bonn,Institute for Applied Mathematics, and Hausdorff Center for Mathematics

来源：

Complex Analysis and Operator Theory | 2020年 / 14卷

关键词：

Lower semi-bounded symmetric operators; Self-adjoint extensions; Friedrichs extensions; 47B15; 47B25; 47N50; 81Q10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

共 8 条

[1]

Birman M v(1956)On the theory of self-adjoint extensions of positive definite operators Mat. Sb. N.S. 38 431-450

[2]

Gallone M(2019)Hydrogenoid spectra withcentral perturbations Rep. Math. Phys. 84 215-243

[3]

Michelangeli A(1968)A characterization of the non-local boundary value problems associated with an elliptic operator Ann. Scuola Norm. Sup. Pisa 22 425-513

[4]

Grubb G(1947)The theory of self-adjoint extensions of semi-bounded Hermitian transformations and its applications I Rec. Math. [Mat. Sbornik] N.S. 20 431-495

[5]

Kreĭn MG(2017)On point interactions realised as Ter–Martirosyan–Skornyakov Hamiltonians Rep. Math. Phys. 79 215-260

[6]

Michelangeli A(1952)On general boundary problems for elliptic differential equations Trudy Moskov. Mat. Obšč. 1 187-246

[7]

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