A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$

Authors

  • H. Reisi

DOI:

https://doi.org/10.4208/ata.2016.v32.n4.2

Keywords:

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 $K(H)$.

Published

2016-10-02

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How to Cite

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