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).
  • Keywords

Jensen *-derivation $C^*$-algebra Hyers--Ulam stability

  • AMS Subject Headings

52B10 65D18 68U05 68U07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-333, author = {H. Reisi}, 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) 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 KW - $C^*$-algebra KW - 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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