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Several properties of new ellipsoids

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Abstract

We first characterize a polytope whose new ellipsoid is a ball. Furthermore, we prove some properties for the operator Γ−2 and obtain some inequalities.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

    Ya-jun Shen  (沈亚军)

  2. School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P. R. China

    Jun Yuan  (袁俊)

Authors
  1. Ya-jun Shen  (沈亚军)
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  2. Jun Yuan  (袁俊)
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Corresponding author

Correspondence to Ya-jun Shen  (沈亚军).

Additional information

Communicated by ZHOU Zhe-wei

Project supported by the National Natural Science Foundation of China (Nos. 10671117, 30771709) and the Science and Technology Research Item of Zhejiang Provincial Department of Education (No. 20070935)

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Shen, Yj., Yuan, J. Several properties of new ellipsoids. Appl. Math. Mech.-Engl. Ed. 29, 967–973 (2008). https://doi.org/10.1007/s10483-008-0716-y

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  • DOI: https://doi.org/10.1007/s10483-008-0716-y

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2000 Mathematics Subject Classification

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