Non-existence of translation-invariant derivations on algebras of measurable functions

Aleksey Ber, Jinghao Huang, Karimbergen Kudaybergenov +1

Let $S(0,1)$ be the $\ast$-algebra of all classes of Lebesgue measurable functions on the unit interval $(0,1)$ and let $(\mathcal{A},{\Vert \cdot \Vert }_{\mathcal{A}})$ be a complete…