3 problems

Let $X$ be a rearrangement-invariant function space on $[0,1]$, so that $X$ contains the constant functions, and let $P$ be a contractive projection on $X$ satisfying…

Embedding conjecture. The natural embedding $E\subset L_1([0,1])$ is not strictly singular if and only if $G$ embeds continuously into $E$.

Let $(\exp L_1)_0$ denote the separable part of the exponential Orlicz space, and let $\mathbb{K}$ be the class of rearrangement-invariant spaces with the Kruglov property. Minimal…