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

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

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 333–338

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 333–338

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Jensen $*$-derivation $C^*$-algebra Hyers-Ulam stability.