A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$
DOI:
https://doi.org/10.4208/ata.2016.v32.n4.2Keywords:
Jensen $*$-derivation, $C^*$-algebra, Hyers-Ulam stability.Abstract
Let's take $H$ as an infinite-dimensional Hilbert space and $K(H)$ be the set of all compact operators on $H$. Using Spectral theorem for compact self-adjoint operators, we prove the Hyers-Ulam stability of Jensen $*$-derivations from $K(H)$ into $K(H)$.
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2016-10-02
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A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$. (2016). Analysis in Theory and Applications, 32(4), 333-338. https://doi.org/10.4208/ata.2016.v32.n4.2