The essential norm of multiplication operators on $L_p(μ)$

Jürgen Voigt

Published 2022-03-24Version 1

We show that the formula for the essential norm of a multiplication operator on $L_p$, for $1<p<\infty$, also holds for $p=1$. We also provide a proof for the formula which works simultaneously for all $p\in[1,\infty)$.