On some extensions of the A-model
The A-model for finite rank singular perturbations of class \(\mathfrak{H}_{-m-2}\setminus\mathfrak{H}_{-m-1}\), \(m \in \mathbb{N}\), is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces \((\mathfrak{H}_n)_{n\in\mathbb{Z}}\) admit an orthogonal decompos...
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AGH Univeristy of Science and Technology Press
2020-10-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol40/5/art/opuscula_math_4032.pdf |
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doaj-a13b59b2d1c24275916cf6be980a22d72021-02-08T18:34:07ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742020-10-01405569597https://doi.org/10.7494/OpMath.2020.40.5.5694032On some extensions of the A-modelRytis Juršėnas0https://orcid.org/0000-0003-0788-5123Vilnius University, Institute of Theoretical Physics and Astronomy, Saulėtekio Ave. 3, LT-10257 Vilnius, LithuaniaThe A-model for finite rank singular perturbations of class \(\mathfrak{H}_{-m-2}\setminus\mathfrak{H}_{-m-1}\), \(m \in \mathbb{N}\), is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces \((\mathfrak{H}_n)_{n\in\mathbb{Z}}\) admit an orthogonal decomposition \(\mathfrak{H}^-_n \oplus \mathfrak{H}^+_n\), with the corresponding projections satisfying \(P^{\pm}_{n+1}\subseteq P^{\pm}_n\), nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces.https://www.opuscula.agh.edu.pl/vol40/5/art/opuscula_math_4032.pdffinite rank higher order singular perturbationcascade (a) modelpeak modelhilbert spacescale of hilbert spacespontryagin spaceordinary boundary triplekrein \(q\)-functionweyl functiongamma fieldsymmetric operatorproper extensionresolvent |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rytis Juršėnas |
| spellingShingle |
Rytis Juršėnas On some extensions of the A-model Opuscula Mathematica finite rank higher order singular perturbation cascade (a) model peak model hilbert space scale of hilbert spaces pontryagin space ordinary boundary triple krein \(q\)-function weyl function gamma field symmetric operator proper extension resolvent |
| author_facet |
Rytis Juršėnas |
| author_sort |
Rytis Juršėnas |
| title |
On some extensions of the A-model |
| title_short |
On some extensions of the A-model |
| title_full |
On some extensions of the A-model |
| title_fullStr |
On some extensions of the A-model |
| title_full_unstemmed |
On some extensions of the A-model |
| title_sort |
on some extensions of the a-model |
| publisher |
AGH Univeristy of Science and Technology Press |
| series |
Opuscula Mathematica |
| issn |
1232-9274 |
| publishDate |
2020-10-01 |
| description |
The A-model for finite rank singular perturbations of class \(\mathfrak{H}_{-m-2}\setminus\mathfrak{H}_{-m-1}\), \(m \in \mathbb{N}\), is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces \((\mathfrak{H}_n)_{n\in\mathbb{Z}}\) admit an orthogonal decomposition \(\mathfrak{H}^-_n \oplus \mathfrak{H}^+_n\), with the corresponding projections satisfying \(P^{\pm}_{n+1}\subseteq P^{\pm}_n\), nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces. |
| topic |
finite rank higher order singular perturbation cascade (a) model peak model hilbert space scale of hilbert spaces pontryagin space ordinary boundary triple krein \(q\)-function weyl function gamma field symmetric operator proper extension resolvent |
| url |
https://www.opuscula.agh.edu.pl/vol40/5/art/opuscula_math_4032.pdf |
| work_keys_str_mv |
AT rytisjursenas onsomeextensionsoftheamodel |
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1724279714136195072 |