@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00697603v4> a dcat:Dataset ;
    dct:description """
              We prove that on $\\mathbb{R}^n$, there is no $N$-supercyclic operator with $1\\leq N< \\lfloor \\frac{n+1}{2}\\rfloor$ i.e. if $\\mathbb{R}^n$ has an $N$ dimensional subspace whose orbit under $T$ is dense in $\\mathbb{R}^n$, then $N$ is greater than $\\lfloor\\frac{n+1}{2}\\rfloor$. Moreover, this value is optimal. We then consider the case of strongly $N$-supercyclic operators. An operator $T$ is strongly $N$-supercyclic if $\\mathbb{R}^n$ has an $N$-dimensional subspace whose orbit under $T$ is dense in $\\mathbb{P}_N(\\mathbb{R}^n)$, the $N$-th Grassmannian. We prove that strong $N$-supercyclicity does not occur non-trivially in finite dimension.
            """ ;
    dct:identifier "hal-00697603" ;
    dct:issued "2026-05-07T15:42:47.025927"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T15:42:47.025934"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "$n$-supercyclic and strongly $n$-supercyclic operators in finite dimensions" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00697603v4/resource/6bc7f753-8b59-48b0-a2e4-e9a80d864859> ;
    dcat:keyword "47a1647b9915a99",
        "finite-dimension",
        "infoeu-reposemanticsarticle",
        "jordan-decomposition",
        "journal-articles",
        "mathmath-famathematics-mathfunctional-analysis-mathfa",
        "n-supercyclic-operators",
        "n-supercyclicity",
        "strong-n-supercyclicity",
        "strongly-n-supercyclic-operators",
        "supercyclic-operators" ;
    dcat:landingPage <ISSN:%200039-3223> .

<ISSN:%200039-3223> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00697603v4/resource/6bc7f753-8b59-48b0-a2e4-e9a80d864859> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T15:42:47.033858"^^xsd:dateTime ;
    dct:modified "2026-05-07T15:42:47.010005"^^xsd:dateTime ;
    dct:title "$n$-supercyclic and strongly $n$-supercyclic operators in finite dimensions" ;
    dcat:accessURL <https://hal.science/hal-00697603> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
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