Rademacher型与Enflo型重合
Rademacher type and Enflo type coincide
AI总结：
本文证明了Banach空间的Rademacher型与Enflo型重合，解决了该领域长期开放的问题，其证明基于离散立方体上Pisier不等式的新型无维度类似物。
摘要：
Enflo在经典著作中引入了Banach空间的Rademacher型的非线性类似物。Enflo型的关键特征是其定义仅使用Banach空间的度量结构，而Rademacher型的定义依赖于其线性结构。我们证明了Rademacher型与Enflo型重合，解决了Banach空间理论中长期存在的开放问题。该证明基于离散立方体上Pisier不等式的一种新颖的无维度类似物。
英文摘要：
A nonlinear analogue of the Rademacher type of a Banach space was introduced in classical work of Enflo. The key feature of Enflo type is that its definition uses only the metric structure of the Banach space, while the definition of Rademacher type relies on its linear structure. We prove that Rademacher type and Enflo type coincide, settling a long-standing open problem in Banach space theory. The proof is based on a novel dimension-free analogue of Pisier's inequality on the discrete cube.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
