Scholarlink

In Corollary 10.1.4 we have shown that the dual of a completely right-projective (completely left-projective) o.s. tensor norm is completely right-injective (completely left-injective). In the Banach space setting the reciprocal is valid but in the operator space context this is no longer true (see Remark 12.1.5 below). Note that all known proofs of this fact for Banach space tensor norms use elements of the theory mentioned in Sect. 1.5 .

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Injective/Projective Hulls and Accessibility

  • 章节

  • 发表日期：

    2025年

查看全文
  • Javier Alejandro Chávez-Domínguez,
  • Verónica Dimant,
  • Daniel Galicer

摘要

In Corollary 10.1.4 we have shown that the dual of a completely right-projective (completely left-projective) o.s. tensor norm is completely right-injective (completely left-injective). In the Banach space setting the reciprocal is valid but in the operator space context this is no longer true (see Remark 12.1.5 below). Note that all known proofs of this fact for Banach space tensor norms use elements of the theory mentioned in Sect. 1.5 .