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ON THE NUCLEARITY OF COMPLETELY 1-SUMMING MAPPING SPACES

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【作者】 董浙赵亚菲

【Author】 Zhe DONG;Yafei ZHAO;School of Mathematical Sciences, Zhejiang University;Department of Mathematics, Zhejiang International Studies University;

【机构】 School of Mathematical Sciences, Zhejiang UniversityDepartment of Mathematics, Zhejiang International Studies University

【摘要】 In this paper, we investigate the λ-nuclearity in the system of completely 1-summing mapping spaces(Π1(·, ·), π1). In Section 2, we obtain that ■ is the unique operator space that is nuclear in the system(Π1(·, ·), π1). We generalize some results in Section 2 to λ-nuclearity in Section 3.

【Abstract】 In this paper, we investigate the λ-nuclearity in the system of completely 1-summing mapping spaces(Π1(·, ·), π1). In Section 2, we obtain that ■ is the unique operator space that is nuclear in the system(Π1(·, ·), π1). We generalize some results in Section 2 to λ-nuclearity in Section 3.

【基金】 supported by the National Natural Science Foundation of China (11871423)
  • 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2020年06期
  • 【分类号】O177.2
  • 【下载频次】9
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