Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations

Toimittaja(t)

Elsevier|Royal Netherlands Academy of Arts and Sciences (KNAW)
2012-12
Artikkeli
vertaisarvioitu
Artikkeli
Osuva_Hassi_deSnoo_Szafraniec_2012.pdf - Lopullinen julkaistu versio - 321.25 KB
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Pysyvä osoite

https://urn.fi/URN:NBN:fi-fe2020102185819

Kuvaus

©2012 Elsevier. This manuscript version is made available under the Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International (CC BY–NC–ND 4.0) license, https://creativecommons.org/licenses/by-nc-nd/4.0/
The notion of a maximally nondensely defined symmetric operator or relation is introduced and characterized. The selfadjoint extensions (including the generalized Friedrichs extension) of a class of maximally nondensely defined symmetric operators are described. The description is given by means of the theory of ordinary boundary triplets and exhibits the extensions as infinite-dimensional perturbations of a certain selfadjoint operator extension of the symmetric operator.

URI

https://doi.org/10.1016/j.indag.2012.08.007

Emojulkaisu

ISBN

ISSN

0019-3577

Aihealue

Kausijulkaisu

Indagationes Mathematicae|23

OKM-julkaisutyyppi

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Avainsanat

Symmetric operatorGeneralized Friedrichs extensionWeyl functionBoundary tripletGraph perturbation
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