Nonlinear Jordan Higher Derivations of Triangular Algebras

Authors

  • Wenlian Fu
  • Zhankui Xiao

DOI:

https://doi.org/10.13447/j.1674-5647.2015.02.03

Keywords:

nonlinear Jordan higher derivation, triangular algebra, nest algebra.

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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Published

2021-05-14

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Issue

Vol. 31 No. 2 (2015)

Section

Articles

How to Cite

Nonlinear Jordan Higher Derivations of Triangular Algebras. (2021). Communications in Mathematical Research, 31(2), 119-130. https://doi.org/10.13447/j.1674-5647.2015.02.03