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Nonlinear *-Lie Higher Derivations of Standard Operator Algebras

Nonlinear *-Lie Higher Derivations of Standard Operator Algebras AbstractLet 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

Nonlinear *-Lie Higher Derivations of Standard Operator Algebras

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Publisher
de Gruyter
Copyright
© 2018 Mohammad Ashraf, published by Sciendo
ISSN
2336-1298
eISSN
2336-1298
DOI
10.2478/cm-2018-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractLet 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.

Journal

Communications in Mathematicsde Gruyter

Published: Jun 1, 2018

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