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· 2025 · DOI 10.1007/s43037-024-00400-7

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Functions in $L_1(\mu,Y)$ with optimal tensor representations

math.FA · 2026-07-02 · unverdicted · novelty 6.0

Characterizes norm-attaining elements in L1(μ,Y) for strictly convex Y and Y=L1(ν), shows non-attaining cases when measures are non-atomic, and introduces a geometric property on Y ensuring optimal representations for Lipschitz-free spaces, C(K) on totally disconnected K, and c0(Γ), settling two ope

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  • Functions in $L_1(\mu,Y)$ with optimal tensor representations math.FA · 2026-07-02 · unverdicted · none · ref 23

    Characterizes norm-attaining elements in L1(μ,Y) for strictly convex Y and Y=L1(ν), shows non-attaining cases when measures are non-atomic, and introduces a geometric property on Y ensuring optimal representations for Lipschitz-free spaces, C(K) on totally disconnected K, and c0(Γ), settling two ope