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

J 2024

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

CARUSO, Noe Angelo, Alessandro MICHELANGELI a Andrea OTTOLINI

Základní údaje

Originální název

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

Autoři

CARUSO, Noe Angelo, Alessandro MICHELANGELI a Andrea OTTOLINI

Vydání

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

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Quaestiones Mathematicae

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.2989/16073606.2023.2209282

UT WoS

001121710600001

Klíčová slova anglicky

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

Štítky

MÚ

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 7. 3. 2024 09:23, Mgr. Aleš Ryšavý

Anotace

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.

Citovat

CARUSO, Noe Angelo, Alessandro MICHELANGELI a Andrea OTTOLINI. On a comparison between absolute and relative self-adjoint extension schemes. Quaestiones Mathematicae. Oxon (England): Taylor & Francis LTD, 2024, roč. 47, č. 1, 19 s. ISSN 1607-3606. Dostupné z: https://dx.doi.org/10.2989/16073606.2023.2209282.

@article{78042,
   author = {Caruso, Noe Angelo and Michelangeli, Alessandro and Ottolini, Andrea},
   article_location = {Oxon (England)},
   article_number = {1},
   doi = {http://dx.doi.org/10.2989/16073606.2023.2209282},
   keywords = {Self-adjoint operators on Hilbert space; self-adjoint extensions; von Neumann's extension theory; Krein-Visik-Birman extension theory; extension parameters; boundary triplets},
   language = {eng},
   issn = {1607-3606},
   journal = {Quaestiones Mathematicae},
   title = {On a comparison between absolute and relative self-adjoint extension schemes},
   url = {https://www.tandfonline.com/doi/epdf/10.2989/16073606.2023.2209282?needAccess=true},
   volume = {47},
   year = {2024}
}

TY  - JOUR
ID  - 78042
AU  - Caruso, Noe Angelo - Michelangeli, Alessandro - Ottolini, Andrea
PY  - 2024
TI  - On a comparison between absolute and relative self-adjoint extension schemes
JF  - Quaestiones Mathematicae
VL  - 47
IS  - 1
PB  - Taylor & Francis LTD
SN  - 16073606
KW  - Self-adjoint operators on Hilbert space
KW  - self-adjoint extensions
KW  - von Neumann's extension theory
KW  - Krein-Visik-Birman extension theory
KW  - extension parameters
KW  - boundary triplets
UR  - https://www.tandfonline.com/doi/epdf/10.2989/16073606.2023.2209282?needAccess=true
N2  - 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.
ER  -

CARUSO, Noe Angelo, Alessandro MICHELANGELI a Andrea OTTOLINI. On a comparison between absolute and relative self-adjoint extension schemes. \textit{Quaestiones Mathematicae}. Oxon (England): Taylor \&{} Francis LTD, 2024, roč.~47, č.~1, 19 s. ISSN~1607-3606. Dostupné z: https://dx.doi.org/10.2989/16073606.2023.2209282.

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