In this paper, we investigate the $\lambda$-nuclearity in the system of completely 1-summing mapping spaces $(\Pi_{1}(\cdot, \cdot), \pi_{1})$. In Section 2, we obtain that $\mathbb{C}$ is the unique operator space that is nuclear in the system $(\Pi_{1}(\cdot, \cdot), \pi_{1})$. We generalize some results in Section 2 to $\lambda$-nuclearity in Section 3.
Zhe DONG
,
Yafei ZHAO
. ON THE NUCLEARITY OF COMPLETELY 1-SUMMING MAPPING SPACES[J]. Acta mathematica scientia, Series B, 2020
, 40(6)
: 1981
-1988
.
DOI: 10.1007/s10473-020-0623-6
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