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We now turn our attention to understanding the dual of a tensor product equipped with an o.s. tensor norm. Ideally, one would like to describe it in terms of another tensor product involving the dual spaces. To establish this connection, we first need to examine the dual of an o.s. tensor norm, analyze its properties, and explore the results that follow from its structure. This will play a crucial role in later chapters, where tensor product techniques will be applied to the theory of mapping ideals.

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Dual Operator Space Tensor Norms

  • 章节

  • 发表日期：

    2025年

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

摘要

We now turn our attention to understanding the dual of a tensor product equipped with an o.s. tensor norm. Ideally, one would like to describe it in terms of another tensor product involving the dual spaces. To establish this connection, we first need to examine the dual of an o.s. tensor norm, analyze its properties, and explore the results that follow from its structure. This will play a crucial role in later chapters, where tensor product techniques will be applied to the theory of mapping ideals.