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arXiv · 2412.07143

SL(n) covariant matrix-valued valuations on Orlicz spaces

Chunna Zeng·Yu Lan
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Abstract

All continuous, SL(n) covariant valuations on Orlicz spaces are completely classified without any symmetric assumptions. It is shown that the moment matrix is the only such valuation if n\geq3, while a new functional shows up in dimension two.

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Chunna Zeng, Yu Lan. 2024-12-10. SL(n) covariant matrix-valued valuations on Orlicz spaces. https://arxiv.org/abs/2412.07143

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