Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385473611> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4385473611 abstract "Given Krein and Hilbert spaces $left( mathcal{K},[.,.] right)$ and $left( mathcal{H},, left( .,. right) right)$, respectively. We generalize the concept of the boundary triple $Pi =(mathcal{H}, Gamma _{0}, Gamma_{1})$, i.e. we introduce a general concept of the textit{Green's boundary relation} simply as an isometric relation $Gamma$ between Krein spaces $left( mathcal{K}^{2}, left[ .,.right]_{mathcal{K}^{2}} right) $ and $left(mathcal{H}^{2}, left[ .,.right]_{mathcal{H}^{2}} right) $, without any conditions on $dom, Gamma$ and $ran, Gamma$. The main properties of the Green's boundary relations are proved. In the process, a new characterization of unitary linear relations between Krein spaces is proved. The theorem about the main transformation between self-adjoint and unitary relations is strengthened. Then two statements about generalized Nevanlinna families are generalized by means of the Green's boundary relation approach. In addition, some already known boundary triples with the Hilbert space $mathcal{K}$, such as AB-generalized, B-generalized, ordinary, isometric, unitary, quasi-boundary and S-generalized boundary triples are generalized from Hilbert to the Krein space $mathcal{K}$, by means of the Green's boundary relation." @default.
- W4385473611 created "2023-08-02" @default.
- W4385473611 creator A5087042156 @default.
- W4385473611 date "2023-07-29" @default.
- W4385473611 modified "2023-09-23" @default.
- W4385473611 title "Green's boundary relation model in a Krein space" @default.
- W4385473611 doi "https://doi.org/10.48550/arxiv.2307.15954" @default.
- W4385473611 hasPublicationYear "2023" @default.
- W4385473611 type Work @default.
- W4385473611 citedByCount "0" @default.
- W4385473611 crossrefType "posted-content" @default.
- W4385473611 hasAuthorship W4385473611A5087042156 @default.
- W4385473611 hasBestOaLocation W43854736111 @default.
- W4385473611 hasConcept C114614502 @default.
- W4385473611 hasConcept C121332964 @default.
- W4385473611 hasConcept C134306372 @default.
- W4385473611 hasConcept C138885662 @default.
- W4385473611 hasConcept C17744445 @default.
- W4385473611 hasConcept C179371143 @default.
- W4385473611 hasConcept C199539241 @default.
- W4385473611 hasConcept C202444582 @default.
- W4385473611 hasConcept C2778572836 @default.
- W4385473611 hasConcept C33923547 @default.
- W4385473611 hasConcept C41895202 @default.
- W4385473611 hasConcept C62354387 @default.
- W4385473611 hasConcept C62520636 @default.
- W4385473611 hasConcept C62799726 @default.
- W4385473611 hasConcept C67820243 @default.
- W4385473611 hasConcept C84114770 @default.
- W4385473611 hasConceptScore W4385473611C114614502 @default.
- W4385473611 hasConceptScore W4385473611C121332964 @default.
- W4385473611 hasConceptScore W4385473611C134306372 @default.
- W4385473611 hasConceptScore W4385473611C138885662 @default.
- W4385473611 hasConceptScore W4385473611C17744445 @default.
- W4385473611 hasConceptScore W4385473611C179371143 @default.
- W4385473611 hasConceptScore W4385473611C199539241 @default.
- W4385473611 hasConceptScore W4385473611C202444582 @default.
- W4385473611 hasConceptScore W4385473611C2778572836 @default.
- W4385473611 hasConceptScore W4385473611C33923547 @default.
- W4385473611 hasConceptScore W4385473611C41895202 @default.
- W4385473611 hasConceptScore W4385473611C62354387 @default.
- W4385473611 hasConceptScore W4385473611C62520636 @default.
- W4385473611 hasConceptScore W4385473611C62799726 @default.
- W4385473611 hasConceptScore W4385473611C67820243 @default.
- W4385473611 hasConceptScore W4385473611C84114770 @default.
- W4385473611 hasLocation W43854736111 @default.
- W4385473611 hasOpenAccess W4385473611 @default.
- W4385473611 hasPrimaryLocation W43854736111 @default.
- W4385473611 hasRelatedWork W167827973 @default.
- W4385473611 hasRelatedWork W1985597182 @default.
- W4385473611 hasRelatedWork W2036795049 @default.
- W4385473611 hasRelatedWork W2072561716 @default.
- W4385473611 hasRelatedWork W2093434792 @default.
- W4385473611 hasRelatedWork W2620384692 @default.
- W4385473611 hasRelatedWork W2952972679 @default.
- W4385473611 hasRelatedWork W3103354695 @default.
- W4385473611 hasRelatedWork W2478301626 @default.
- W4385473611 hasRelatedWork W2479187791 @default.
- W4385473611 isParatext "false" @default.
- W4385473611 isRetracted "false" @default.
- W4385473611 workType "article" @default.