MMN-1550
Refined almost double derivations and Lie $*$-double derivations
Abstract
In this paper, our approach allows to refine the results announced by Ebadian et al. [Results Math., 36 (2013), 409--423].
Namely, we reduce the distance between approximate and exact double derivations
on Banach algebras and Lie $C^*$-algebras up to $\frac{1}{2^{n-1}}$ and $\frac{1}{2^{n-2}}$ for $n\geq 2$.
Indeed, we give a correct utilization of fixed point theory
in the sense of Diaz and Margolis
[Bull. Amer. Math. Soc., 74 (1968), 305--309]
concerning the stability of double derivations.
Vol. 16 (2015), No. 2, pp. 1063-1071
DOI: 10.18514/MMN.2015.1550