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In the theory Banach spaces another important topic regarding the interplay between tensor products and ideals is the class of minimal operator ideals (Defant and Floret, Tensor Norms and Operator Ideals. North-Holland Mathematics Studies, vol. 176. North-Holland Publishing Co., Amsterdam, 1993, Sec. 22). In this chapter we construct an operator space analogue of this concept; an instance of this procedure already appears in the definition of nuclear mappings, as will become clear in Theorem 9.2.3 below.

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Minimal 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 theory Banach spaces another important topic regarding the interplay between tensor products and ideals is the class of minimal operator ideals (Defant and Floret, Tensor Norms and Operator Ideals. North-Holland Mathematics Studies, vol. 176. North-Holland Publishing Co., Amsterdam, 1993, Sec. 22). In this chapter we construct an operator space analogue of this concept; an instance of this procedure already appears in the definition of nuclear mappings, as will become clear in Theorem 9.2.3 below.