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Quasi-selfadjoint extensions of dual pairs of linear relations (2404.02355v1)
Published 2 Apr 2024 in math.FA and math.SP
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.
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