The derivation problem for group algebras

Abstract

If $G$ is a locally compact group, then for each derivation $D$ from $L^1(G)$ into $L^1(G)$ there is a bounded measure $\mu\in M(G)$ with $D(a)=a*\mu-\mu*a$ for $a\in L^1(G)$ (“derivation problem” of B. E. Johnson).

Authors

Viktor Losert

Institut für Mathematik
Universität Wien
1090 Wien
Austria