@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
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    dct:description """
              We prove in this paper resolvent estimates for the boundary values of resolvents of selfadjoint operators on a Krein space: if $H$ is a selfadjoint operator on a Krein space $\\cH$, equipped with the Krein scalar product $\\langle \\cdot| \\cdot \\rangle$, $A$ is the generator of a $C_{0}-$group on $\\cH$ and $I\\subset \\rr$ is an interval such that: \\begin{itemize} \\item[]1) $H$ admits a Borel functional calculus on $I$, \\item[]2) the spectral projection $\\one_{I}(H)$ is positive in the Krein sense, \\item[]3) the following {\\em positive commutator estimate} holds: \\[ \\Re \\langle u| [H, \\i A]u\\rangle\\geq c \\langle u| u\\rangle, \\ u \\in {\\rm Ran}\\one_{I}(H), \\ c>0. \\] \\end{itemize} then assuming some smoothness of $H$ with respect to the group $\\e^{\\i t A}$, the following resolvent estimates hold: \\[ \\sup_{z\\in I\\pm \\i]0, \\nu]}\\| \\langle A\\rangle ^{-s}(H-z)^{-1}\\langle A\\rangle^{-s}\\| <\\infty, \\ s>\\12. \\] As an application we consider abstract Klein-Gordon equations \\[ \\p_{t}^{2}\\phi(t)- 2 \\i k \\phi(t)+ h\\phi(t)=0, \\] and obtain resolvent estimates for their generators in {\\em charge spaces} of Cauchy data.
            """ ;
    dct:identifier "hal-00748181" ;
    dct:issued "2026-05-10T04:25:24.203662"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-10T04:25:24.203667"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Boundary values of resolvents of self-adjoint operators in Krein spaces" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00748181v4/resource/a3487ae7-b520-4c93-bb2b-35a5286dd3cb> ;
    dcat:keyword "34l25-35p25-81u-81q05",
        "commutator-expansions",
        "functional-calculus",
        "infoeu-reposemanticspreprint",
        "klein-gordon-equations",
        "krein-spaces",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mathmath-mpmathematics-mathmathematical-physics-math-ph",
        "mathmath-spmathematics-mathspectral-theory-mathsp",
        "physmphyphysics-physicsmathematical-physics-math-ph",
        "preprints-working-papers-",
        "resolvent-estimates" ;
    dcat:landingPage <https://hal.science/hal-00748181> .

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    dct:issued "2026-05-10T04:25:24.236759"^^xsd:dateTime ;
    dct:modified "2026-05-10T04:25:24.183559"^^xsd:dateTime ;
    dct:title "Boundary values of resolvents of self-adjoint operators in Krein spaces" ;
    dcat:accessURL <https://hal.science/hal-00748181> .

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