Nonlinear *-Lie Higher Derivations of Standard Operator Algebras
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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2018-06-01
|
Series: | Communications in Mathematics |
Subjects: | |
Online Access: | http://www.degruyter.com/view/j/cm.2018.26.issue-1/cm-2018-0003/cm-2018-0003.xml?format=INT |
Summary: | 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. |
---|---|
ISSN: | 2336-1298 |