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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 to λ-nuclearity in Section 3.

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Correspondence to Zhe Dong or Yafei Zhao.

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The project was partially supported by the National Natural Science Foundation of China (11871423).

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Dong, Z., Zhao, Y. On the Nuclearity of Completely 1-Summing Mapping Spaces. Acta Math Sci 40, 1981–1988 (2020). https://doi.org/10.1007/s10473-020-0623-6

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  • DOI: https://doi.org/10.1007/s10473-020-0623-6

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