TY - JOUR
T1 - A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$
AU - H. Reisi
JO - Analysis in Theory and Applications
VL - 4
SP - 333
EP - 338
PY - 2016
DA - 2016/10
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n4.2
UR - https://global-sci.org/intro/article_detail/ata/4674.html
KW - Jensen $*$-derivation, $C^*$-algebra, Hyers-Ulam stability.
AB - <p style="text-align: justify;">Let&#39;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 $K(H)$.</p>