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.