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Journal of Shanghai University >

2021 , Vol. 27 >Issue 6: 1144 - 1148

DOI: https://doi.org/10.12066/j.issn.1007-2861.2234

Research Articles

The properties of complex centroid body

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  • College of Science, Shanghai University, Shanghai 200444, China

Received date: 2020-03-25

  Online published: 2022-01-06

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Abstract

We define a complex centroid body and the support function. We prove the linearity of the complex centroid operator. For any two non-empty complex convex bodies, we prove the inclusion relationship of the Minkowski addition on the complex centroid body and extend it to convex bodies.

Key words： complex convex body; complex centroid body; linearity

Cite this article

JIN Tian, LENG Gangsong . The properties of complex centroid body[J]. Journal of Shanghai University, 2021 , 27(6) : 1144 -1148 . DOI: 10.12066/j.issn.1007-2861.2234

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