Quasi-selfadjoint extensions of dual pairs of linear relations
Functional Analysis
2024-04-04 v1 Spectral Theory
Abstract
This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear relation associated with a dual pair of linear relations is introduced. Necessary and sufficient conditions for quasi-selfadjoint extensions of dual pairs of linear relations are obtained. These results extends the corresponding results for dual pairs of linear operators to dual pairs of linear relations.
Cite
@article{arxiv.2404.02355,
title = {Quasi-selfadjoint extensions of dual pairs of linear relations},
author = {Guixin Xu and Guojing Ren},
journal= {arXiv preprint arXiv:2404.02355},
year = {2024}
}
Comments
14 pages