Isometric uniqueness of a complementably universal Banach space for Schauder decompositions

Abstract

We present an isometric version of the complementably universal Banach space $\mathbb{P}$ with a Schauder decomposition. The space $\mathbb{P}$ is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.

References in corpus (2)

• A proof of uniqueness of the Gurarii space
• Banach spaces of universal disposition

Cited by in corpus (1)

• Metric-enriched categories and approximate Fraïssé limits