Year: 2015
Author: Wenlian Fu, Zhankui Xiao
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 119–130
Abstract
In this paper, we prove that any nonlinear Jordan higher derivation on triangular algebras is an additive higher derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.02.03
Communications in Mathematical Research , Vol. 31 (2015), Iss. 2 : pp. 119–130
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: nonlinear Jordan higher derivation triangular algebra nest algebra.