Mohammad Ashraf ; Shakir Ali ; Bilal Ahmad Wani
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Nonlinear *-Lie Higher Derivations of Standard Operator Algebras
cm:9474 -
Communications in Mathematics,
June 29, 2018,
Volume 26 (2018), Issue 1
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https://doi.org/10.2478/cm-2018-0003Nonlinear *-Lie Higher Derivations of Standard Operator AlgebrasArticleAuthors: Mohammad Ashraf ; Shakir Ali ; Bilal Ahmad Wani

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Mohammad Ashraf;Shakir Ali;Bilal Ahmad Wani
Let ℌ be an in finite-dimensional complex Hilbert space and A be a standard operator algebra on ℌ which is closed under the adjoint operation. It is shown that every nonlinear *-Lie higher derivation D = {δn}gn∈N of A is automatically an additive higher derivation on A. Moreover, D = {δn}gn∈N is an inner *-higher derivation.
Volume: Volume 26 (2018), Issue 1
Published on: June 29, 2018
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]