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...
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doaj-f317ef4b0b594767a67f80a9fd84ffb72020-11-25T02:48:14ZengSciendoCommunications in Mathematics2336-12982018-06-01261152910.2478/cm-2018-0003cm-2018-0003Nonlinear *-Lie Higher Derivations of Standard Operator AlgebrasAshraf Mohammad0Ali Shakir1Wani Bilal Ahmad2Department of Mathematics, Aligarh Muslim University,Aligarh-202002 IndiaDepartment of Mathematics, Aligarh Muslim University,Aligarh-202002, IndiaDepartment of Mathematics, Aligarh Muslim University,Aligarh-202002 IndiaLet 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.degruyter.com/view/j/cm.2018.26.issue-1/cm-2018-0003/cm-2018-0003.xml?format=INT47B4716W2546K15Nonlinear *-Lie derivationnonlinear *-Lie higher derivationadditive *-higher derivationstandard operator algebra |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ashraf Mohammad Ali Shakir Wani Bilal Ahmad |
spellingShingle |
Ashraf Mohammad Ali Shakir Wani Bilal Ahmad Nonlinear *-Lie Higher Derivations of Standard Operator Algebras Communications in Mathematics 47B47 16W25 46K15 Nonlinear *-Lie derivation nonlinear *-Lie higher derivation additive *-higher derivation standard operator algebra |
author_facet |
Ashraf Mohammad Ali Shakir Wani Bilal Ahmad |
author_sort |
Ashraf Mohammad |
title |
Nonlinear *-Lie Higher Derivations of Standard Operator Algebras |
title_short |
Nonlinear *-Lie Higher Derivations of Standard Operator Algebras |
title_full |
Nonlinear *-Lie Higher Derivations of Standard Operator Algebras |
title_fullStr |
Nonlinear *-Lie Higher Derivations of Standard Operator Algebras |
title_full_unstemmed |
Nonlinear *-Lie Higher Derivations of Standard Operator Algebras |
title_sort |
nonlinear *-lie higher derivations of standard operator algebras |
publisher |
Sciendo |
series |
Communications in Mathematics |
issn |
2336-1298 |
publishDate |
2018-06-01 |
description |
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. |
topic |
47B47 16W25 46K15 Nonlinear *-Lie derivation nonlinear *-Lie higher derivation additive *-higher derivation standard operator algebra |
url |
http://www.degruyter.com/view/j/cm.2018.26.issue-1/cm-2018-0003/cm-2018-0003.xml?format=INT |
work_keys_str_mv |
AT ashrafmohammad nonlinearliehigherderivationsofstandardoperatoralgebras AT alishakir nonlinearliehigherderivationsofstandardoperatoralgebras AT wanibilalahmad nonlinearliehigherderivationsofstandardoperatoralgebras |
_version_ |
1724749114340540416 |