On the complete separation of unique ${\ell }_1$ spreading models and the Lebesgue property of Banach spaces

Harrison Gaebler, Pavlos Motakis, Bunyamin Sari

We construct a reflexive Banach space $X_{\mathcal{D}}$ with an unconditional basis such that all spreading models admitted by normalized block sequences in $X_{\mathcal{D}}$ are unifo…