Nonlinear Jordan Higher Derivations of Triangular Algebras
Commun. Math. Res., 31 (2015), pp. 119-130.
Published online: 2021-05
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{CMR-31-119,
author = {Fu , Wenlian and Xiao , Zhankui},
title = {Nonlinear Jordan Higher Derivations of Triangular Algebras},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {31},
number = {2},
pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.02.03}, url = {http://global-sci.org/intro/article_detail/cmr/18934.html} }
TY - JOUR
T1 - Nonlinear Jordan Higher Derivations of Triangular Algebras
AU - Fu , Wenlian
AU - Xiao , Zhankui
JO - Communications in Mathematical Research
VL - 2
SP - 119
EP - 130
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.02.03
UR - https://global-sci.org/intro/article_detail/cmr/18934.html
KW - nonlinear Jordan higher derivation, triangular algebra, nest algebra.
AB -
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.
Wenlian Fu & Zhankui Xiao. (2021). Nonlinear Jordan Higher Derivations of Triangular Algebras.
Communications in Mathematical Research . 31 (2).
119-130.
doi:10.13447/j.1674-5647.2015.02.03
Copy to clipboard