Proximity to ${\ell }_1$ and Distortion in Asymptotic ${\ell }_1$ Spaces

Edward Odell, Nicole Tomczak-Jaegermann, Roy Wagner

For an asymptotic ${\ell }_1$ space $X$ with a basis $(x_i)$ certain asymptotic ${\ell }_1$ constants, ${\delta }_{\alpha }(X)$ are defined for $\alpha <{\omega }_1$. ${\delta }_{\alpha }(X)$ measures the equivalence between all nor…