The equation ${dd'+d'd=D^2}$ for derivations on C$^*$-algebras
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DOI: 10.3906/mat-1601-88
Abstract: Let $\mathcal{A}$ be an algebra. A linear mapping $d:\mathcal{A}\to\mathcal{A}$ is called a derivation if $d(ab)=d(a)b+ad(b)$ for each $a,b\in\mathcal{A}$. Given two derivations $d$ and $d'$ on a C$^*$-algebra $\mathcal{A}$, we prove that there exists a derivation… read more here.
Keywords: equation derivations; derivations algebras;