@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              We prove in this note the convexity of the functions $u\\circ \\lambda $ and more generally $u\\circ \\lambda_B $ on the space of Hermitian matrices, for $B$ a fixed positive definite hermitian matrix, when $u:\\mathbb{R}^m\\rightarrow \\mathbb{R}\\cup \\{+\\infty \\}$ is a symmetric convex function which is lower semi-continuous on $\\mathbb{R}^m$, and finite in at least one point of $\\mathbb{R}^m$. This is performed by using some optimisation techniques and a generalized Ky Fan inequality.
            """ ;
    dct:identifier "hal-00694600" ;
    dct:issued "2026-05-19T20:50:41.580459"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-19T20:50:41.580466"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Convexity of Some Spectral Functions on Hermitian Matrices." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00694600v1/resource/ca42232e-7c67-406b-ba96-ebee84cf6341> ;
    dcat:keyword "convexity",
        "hermitian-matrices",
        "hessian-equations",
        "infoeu-reposemanticspreprint",
        "kahler-manifolds",
        "ky-fan-inequality",
        "legendre-fenchel-transform",
        "mathmath-dgmathematics-mathdifferential-geometry-mathdg",
        "mathmath-famathematics-mathfunctional-analysis-mathfa",
        "preprints-working-papers-",
        "spectral-functions" ;
    dcat:landingPage <https://hal.science/hal-00694600> .

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    dct:format "HTML" ;
    dct:issued "2026-05-19T20:50:41.596218"^^xsd:dateTime ;
    dct:modified "2026-05-19T20:50:41.535408"^^xsd:dateTime ;
    dct:title "Convexity of Some Spectral Functions on Hermitian Matrices." ;
    dcat:accessURL <https://hal.science/hal-00694600> .

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    foaf:name "test_moissonnage_selune" .

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