On the similarity of boundary triples of symmetric operators in Krein spaces

2023/03/08 by Rytis Juršėnas, Jursenas, Rytis
Mathematics · #46C20 #47A06 #47B25 #47B50 #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2303.04601

openalex publication_date 2023/03/08 · openalex created_date 2023/03/12 · openalex updated_date 2026/07/28

Abstract

It is a classical result that the Weyl function of a simple symmetric operator in a Hilbert space determines a boundary triple uniquely up to unitary equivalence. We generalize this result to a simple symmetric operator in a Pontryagin space, where unitary equivalence is replaced by the similarity realized via a standard unitary operator.

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