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Stability of deficiency indices

Published:1977 Issue:1-2 Volume:78 Page:119-127
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Behncke Horst,Focke Heinz

Abstract

SynopsisMany known results about the stability of selfadjointness are extended to results about the stability of the deficiency index of closed symmetric operators on Hilbert space under perturbation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. Generalisations of Rellich's theorem on perturbation of (essentially) selfadjoint operators

2. A note on Kato's perturbation theory

3. Dissipative operators in a Banach space

4. Almost positive perturbations of positive selfadjoint operators

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Deficiency Indices for Singular Magnetic Schrödinger Operators;Milan Journal of Mathematics;2024-01-08

2. On Spectral Flow and Fermi Arcs;Communications in Mathematical Physics;2021-02-08

3. Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations;Linear and Multilinear Algebra;2020-05-05

4. Invariance of Deficiency Indices of Second-Order Symmetric Linear Difference Equations under Perturbations;Journal of Function Spaces;2020-02-13

5. On the Stability of Self-Adjointness of Linear Relations;Discrete Dynamics in Nature and Society;2019-12-29

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