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  • On the numerical index of t...
    Merí, Javier; Quero, Alicia

    Linear & multilinear algebra, 06/2024, Letnik: 72, Številka: 9
    Journal Article

    We compute the numerical index of the two-dimensional real Lp space for 65⩽p⩽1+α0 and α1⩽p⩽6, where α0 is the root of f(x)=1+x−2−(x−1x+x1x) and 11+α0+1α1=1. This, together with the previous results in Merí and Quero On the numerical index of absolute symmetric norms on the plane. Linear Multilinear Algebra. 2021;69(5):971–979 and Monika and Zheng The numerical index of ℓp2. Linear Multilinear Algebra. 2022;1–6. Published online DOI:10.1080/03081087.2022.2043818, gives the numerical index of the two-dimensional real Lp space for 65⩽p⩽6.