Suppose $A$ is a Banach algebra and $D:A\to {A^*}$ a bounded derivation. Is it possible to define some characters on $A$ by using $D$.
2026-03-27 22:30:33.1774650633
Derivation and character space
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Certainly not. Take your favourite Banach algebra without characters (such as bounded operators on $\ell_p$) and consider inner derivations into the dual.