[Banach] Abstract of a paper by Florin Catrina, Mikhail I. Ostrovskii

This is an announcement for the paper “Images of nowhere differentiable Lipschitz maps of $[0,1]$ into $L_1[0,1]$” by Florin Catrina<https://arxiv.org/find/math/1/au:+Catrina_F/0/1/0/all/0/1>, Mikhail I. Ostrovskii<https://arxiv.org/find/math/1/au:+Ostrovskii_M/0/1/0/all/0/1>. Abstract: The main result: for every $m\in\mathbb{N}$ and $omega>0$ there exists an isometric embedding $F: [0,1]\rightarrow L_1[0,1]$ which is nowhere differentiable, but for each $t\in[0,1]$ the image $F_t$ is an $m$-times continuously differentiable function with absolute values of all of its $m$ derivatives bounded from above by $\omega$. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1705.08916