Jordan centralizers at commutative zero products on nest algebras

Authors
Behrooz Fadaee 1
Hoger Ghahranani 1
Kamal Fallahi 2
1 Department of Mathematics, University of Kurdistan
2 Department of Mathematics, Payame Noor University, Tehran, Iran
Abstract
Let AlgN be a nest algebras on Hilbert space and let φ:Alg N --> AlgN be an additive map. We prove that if Xφ(Y)+φ(X)Y=0 whenever X, Y in AlgN are such that XY = Y X = 0, then φ is a centralizer. By applying these results we obtain some corollaries concerning (Jordan) centralizers on nest algebras.
Keywords
Jordan centralizer
nest algebras
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