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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 (Π 1 (·, ·), π 1 ). In Section 2, we obtain that ℂ is… Click to show full abstract

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

Keywords: completely summing; section; nuclearity completely; mapping spaces; summing mapping; nuclearity

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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