J 2024

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

CARUSO, Noe Angelo, Alessandro MICHELANGELI and Andrea OTTOLINI

Basic information

Original name

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

Authors

CARUSO, Noe Angelo, Alessandro MICHELANGELI and Andrea OTTOLINI

Edition

Quaestiones Mathematicae, Oxon (England), Taylor & Francis LTD, 2024, 1607-3606

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

Organization unit

Mathematical Institute in Opava

UT WoS

001121710600001

Keywords in English

Self-adjoint operators on Hilbert space; self-adjoint extensions; von Neumann's extension theory; Krein-Visik-Birman extension theory; extension parameters; boundary triplets

Tags

Tags

International impact, Reviewed
Změněno: 7/3/2024 09:23, Mgr. Aleš Ryšavý

Abstract

V originále

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.