Simon Ellmeyer

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math.MG2024

Busemann-Petty type problems on complex vector spaces

Simon Ellmeyer, Georg C. Hofstätter

Busemann-Petty type problems for the recently introduced complex projection, centroid and $L_{p}$ -intersection body operators are examined. Moreover, it is shown that, as their real…

math.MG2023

Complex $L_{p}$ -Intersection Bodies

Simon Ellmeyer, Georg C. Hofstätter

Interpolating between the classic notions of intersection and polar centroid bodies, (real) $L_{p}$ -intersection bodies, for $- 1 < p < 1$ , play an important role in the dual $L_{p}$ -Brunn-…

Busemann-Petty type problems on complex vector spaces

Complex Lp​-Intersection Bodies

Complex $L_{p}$ -Intersection Bodies