ON THE NUCLEARITY OF COMPLETELY 1-SUMMING MAPPING SPACES

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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 C is the unique operator space that is nuclear in the system (Π1(·,· ), π1). We generalize some results in Section 2 toλ-nuclearity in Section 3.
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