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Fadaee B, Ghahranani H, Fallahi K. Jordan centralizers at commutative zero products on nest algebras. mmr 2025; 10 (4) :1-12
URL: http://mmr.khu.ac.ir/article-1-3175-en.html
URL: http://mmr.khu.ac.ir/article-1-3175-en.html
1- Department of Mathematics, University of Kurdistan , behroozfadaee@yahoo.com
2- Department of Mathematics, University of Kurdistan
3- Department of Mathematics, Payame Noor University, Tehran, Iran
2- Department of Mathematics, University of Kurdistan
3- Department of Mathematics, Payame Noor University, Tehran, Iran
Abstract: (158 Views)
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.
Type of Study: S |
Subject:
Operator theorey
Received: 2021/02/22 | Revised: 2025/03/16 | Accepted: 2022/11/1 | Published: 2025/02/28 | ePublished: 2025/02/28
Received: 2021/02/22 | Revised: 2025/03/16 | Accepted: 2022/11/1 | Published: 2025/02/28 | ePublished: 2025/02/28
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