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In the Banach space setting there is an intrinsic relation between tensor norms and operator ideals. As mentioned before, the same happens in the non-commutative context. In this chapter we develop the theory of maximal mapping ideals, showing that the latter and the theory of o.s. tensor norms are two sides of the same coin.

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Maximal Operator Space Mapping Ideals

  • 章节

  • 发表日期：

    2025年

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  • Javier Alejandro Chávez-Domínguez,
  • Verónica Dimant,
  • Daniel Galicer

摘要

In the Banach space setting there is an intrinsic relation between tensor norms and operator ideals. As mentioned before, the same happens in the non-commutative context. In this chapter we develop the theory of maximal mapping ideals, showing that the latter and the theory of o.s. tensor norms are two sides of the same coin.