Volume 11, Issue 1 (5-2025)
mmr 2025, 11(1): 57-71 |
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Zivari-Kazempour A. Linear maps preserving identity products. mmr 2025; 11 (1) :57-71
URL: http://mmr.khu.ac.ir/article-1-3382-en.html
URL: http://mmr.khu.ac.ir/article-1-3382-en.html
Ayatollah Boroujerdi University , zivari@abru.ac.ir
Abstract: (40 Views)
Let A and B be two C * -algebras, A is unital and ϕ : A ⟶ B be a continuous linear map. In this paper, under certain condition, we prove that ϕ is a Jordan * -homomorphism. We also prove that if X is a Banach * -A -bimodule, and σ : A ⟶ X is a continuous linear map satisfying derivation (Jordan derivation) equation with y * = x ∘ y * = σ is a * -derivation
Type of Study: Original Manuscript |
Subject:
Operator theorey
Received: 2024/05/8 | Revised: 2025/10/6 | Accepted: 2025/05/24 | Published: 2025/05/31 | ePublished: 2025/05/31
Received: 2024/05/8 | Revised: 2025/10/6 | Accepted: 2025/05/24 | Published: 2025/05/31 | ePublished: 2025/05/31
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