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arXiv:2404.02355 [math.FA]AbstractReferencesReviewsResources

Quasi-selfadjoint extensions of dual pairs of linear relations

Guixin Xu, Guojing Ren

Published 2024-04-02Version 1

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.

Comments: 14 pages
Categories: math.FA, math.SP
Subjects: 47A06, 47A57, 47B25
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