Lipschitz-Free Spaces Over Ultrametric Spaces

Abstrakt

We prove that the Lipschitz-free space over a separable ultrametric space has a monotone Schauder basis and is isomorphic to ℓ1. This extends results of A.

Dalet using an alternative approach.

Klíčová slova

• Lipschitz-free space
• ultrametric space
• Schauder basis