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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Main Authors: Ashraf Mohammad, Ali Shakir, Wani Bilal Ahmad
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
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spelling 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
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