On a comparison between absolute and relative self-adjoint extension schemes

2022/12/14 by Noè Angelo Caruso, Caruso, Noè Angelo, Alessandro Michelangeli +3
Computer Science · Engineering · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2212.07137

openalex publication_date 2022/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of connecting the operator parameters that label the same self-adjoint extension of a given symmetric operator, respectively, within the 'absolute' von Neumann extension scheme and the 'relative' boundary-triplet-induced extension scheme (i.e., a la Kreĭn-Višik-Birman) is discussed, and quantitative connections between the two parameters are established in the limit of deficiency spaces at complex spectral points converging to the deficiency space at a real spectral point.

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