Approximation properties and Schauder decompositions in Lipschitz-free spaces

Abstrakt

We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over l(1)(N) or l(1) have monotone finite-dimensional Schauder decompositions.

Klíčová slova

• Lipschitz-free spaces
• Approximation property
• Schauder decompositions