Nonlinear Jordan Derivations of Triangular Algebras

Mathematics – Rings and Algebras

Scientific paper

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8 pages, has been submitted for publication

Scientific paper

In this paper we prove that any nonlinear Jordan derivation on triangular
algebras is an additive 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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