Can I read Rademacher type and Enflo type coincide on EtoBox?

Rademacher type and Enflo type coincide by Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander is a scholarly article available to read on EtoBox.

What is Rademacher type and Enflo type coincide about?

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.

Author

Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander

Published

2020

Language

EN