Journal of Shanghai University(Natural Science Edition) ›› 2021, Vol. 27 ›› Issue (6): 1144-1148.doi: 10.12066/j.issn.1007-2861.2234

• Research Articles • Previous Articles     Next Articles

The properties of complex centroid body

JIN Tian, LENG Gangsong()   

  1. College of Science, Shanghai University, Shanghai 200444, China
  • Received:2020-03-25 Online:2021-12-31 Published:2022-01-06
  • Contact: LENG Gangsong E-mail:lenggangsong@163.com

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

CLC Number: