Nonlinear Jordan Derivations of Triangular Algebras
classification
🧮 math.RA
keywords
algebrasderivationjordannonlineartriangularadditivebyproductderivations
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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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