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The properties of complex centroid body
Received date: 2020-03-25
Online published: 2022-01-06
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
Tian JIN , Gangsong LENG . 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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