RANDOMIZED SERIES AND GEOMETRY OF BANACH SPACES
RANDOMIZED SERIES AND GEOMETRY OF BANACH SPACES
We study some properties of the randomized series and their applications to the geometric structure of Banach spaces. For $n \geq 2$ and $1 \lt p \lt \infty$, it is shown that $\ell^n_{\infty}$ is representable in a Banach space $X$ if and only if it is representable in the Lebesgue-Bochner …