A universal operator on the Gurarii space

Abstract

We construct a nonexpansive linear operator on the Gurarii space that "captures" all nonexpansive linear operators between separable Banach spaces. Some additional properties involving its restrictions to finite-dimensional subspaces describe this operator uniquely up to an isometry.

17 pages, extended subsection 2.2. Final version

References in corpus (2)

• Banach spaces of universal disposition
• Quasi-Banach spaces of almost universal disposition

Cited by in corpus (2)

• A note on universal operators between separable Banach spaces
• Enriched Locally Generated Categories