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- W2131803230 abstract "Projection and intersection bodies define continuous and GL ( n ) contravariant valuations. They played a critical role in the solution of the Shephard problem for projections of convex bodies and its dual version for sections, the Busemann–Petty problem. We consider the question whether Φ K ⊆ Φ L implies V ( K ) ⩽ V ( L ) , where Φ is a homogeneous, continuous operator on convex or star bodies which is an SO ( n ) equivariant valuation. Important previous results for projection and intersection bodies are extended to a large class of valuations." @default.
- W2131803230 created "2016-06-24" @default.
- W2131803230 creator A5079829787 @default.
- W2131803230 date "2008-09-01" @default.
- W2131803230 modified "2023-10-17" @default.
- W2131803230 title "Valuations and Busemann–Petty type problems" @default.
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- W2131803230 doi "https://doi.org/10.1016/j.aim.2008.05.001" @default.
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