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Volume 32, Issue 4
A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$

H. Reisi

Anal. Theory Appl., 32 (2016), pp. 333-338.

Published online: 2016-10

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  • 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 $K(H)$.

  • AMS Subject Headings

52B10, 65D18, 68U05, 68U07

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COPYRIGHT: © Global Science Press

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@Article{ATA-32-333, author = {}, title = {A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {4}, pages = {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 $K(H)$.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n4.2}, url = {http://global-sci.org/intro/article_detail/ata/4674.html} }
TY - JOUR T1 - A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$ 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 -

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 $K(H)$.

H. Reisi. (1970). A Perturbation of Jensen $*$-Derivations from $K(H)$ into $K(H)$. Analysis in Theory and Applications. 32 (4). 333-338. doi:10.4208/ata.2016.v32.n4.2
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