362
Views
7
CrossRef citations to date
0
Altmetric
Articles

Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras

, &
Pages 4766-4780 | Received 29 Jan 2022, Accepted 28 Apr 2022, Published online: 17 May 2022

References

  • Ashraf, M., Jabeen, A. (2020). Nonlinear *-Lie derivations on unital algebras. Beiträge Algebra Geom. 61(4):731–746. DOI: 10.1007/s13366-020-00500-z.
  • Ashraf, M., Wani, B. A., Wei, F. (2019). Multiplicative *-Lie triple higher derivations of standard operator algebras. Quaest. Math. 42(7):857–884. DOI: 10.2989/16073606.2018.1502213.
  • Bai, Z., Du, S. (2012). The structure of non-linear Lie derivations on factor von Neumann algebras. Linear Algebra Appl. 436(7):2701–2708. DOI: 10.1016/j.laa.2011.11.009.
  • Chen, L., Zhang, J.-H. (2008). Nonlinear Lie derivation on upper triangular matrix algebras. Linear Multilinear Algebra 56(6):725–730. DOI: 10.1080/03081080701688119.
  • Fošner, A., Wei, F., Xiao, Z.-K. (2013). Nonlinear Lie-type derivations of von Neumann algebras and related topics. Colloq. Math. 132(1):53–71. DOI: 10.4064/cm132-1-5.
  • Ji, P., Liu, R., Zhao, Y. (2012). Nonlinear Lie triple derivations of triangular algebras. Linear Multilinear Algebra 60(10):1155–1164. DOI: 10.1080/03081087.2011.652109.
  • Jing, W. (2016). Nonlinear *-Lie derivations of standard operator algebras. Quaest. Math. 38(8):1037–1046. DOI: 10.2989/16073606.2016.1247119.
  • Kong, L., Zhang, J. (2021). Nonlinear bi-skew Lie derivation on factor von Neumann algebras. Bull. Iranian Math. Soc. 47(4):1097–1106. DOI: 10.1007/s41980-020-00430-5.
  • Li, C., Chen, Q., Wang, T. (2016). *-Lie derivable mappings on von Neumann algebras. Comm. Math. Stat. 4(1):81–92. DOI: 10.1007/s40304-015-0077-7.
  • Li, C.-J., Zhao, F.-F., Chen, Q.-Y. (2016). Nonlinear skew Lie triple derivations between factors. Acta Math. Sin. (Engl. Ser.) 32(7):821–830. DOI: 10.1007/s10114-016-5690-1.
  • Lin, W.-H. (2018). Nonlinear *-Lie-type derivations on standard operator algebras. Acta Math. Hungar. 154(2):480–500. DOI: 10.1007/s10474-017-0783-6.
  • Lin, W.-H. (2018). Nonlinear *-Lie-type derivations on von Neumann algebras. Acta Math. Hungar. 156(1):112–131. DOI: 10.1007/s10474-018-0803-1.
  • Wani, B. A., Ashraf, M., Akhtar, M. S. (2021). Multiplicative *-Lie type higher derivations of standard operator algebras. Commun. Algebra 49(9):3777–3797. DOI: 10.1080/00927872.2021.1906266.
  • Wani, B. A., Ashraf, M., Lin, W. (2020). Multiplicative *-Jordan type higher derivations on von Neumann algebras. Quaest. Math. 43(12):1689–1711. DOI: 10.2989/16073606.2019.1649734.
  • Yu, W.-Y., Zhang, J.-H. (2010). Nonlinear Lie derivations of triangular algebras. Linear Algebra Appl. 432(11):2953–2960. DOI: 10.1016/j.laa.2009.12.042.
  • Yu, W.-Y., Zhang, J.-H. (2012). Nonlinear *-Lie derivations on factor von Neumann algebras. Linear Algebra Appl. 437(8):1979–1991. DOI: 10.1016/j.laa.2012.05.032.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.