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Generalized derivations on unital algebras determined by action on zero products

✍ Scribed by Benkovič, Dominik; Grašič, Mateja


Book ID
121818918
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
325 KB
Volume
445
Category
Article
ISSN
0024-3795

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Generalized derivable mappings at zero p
✍ Jun Zhu; Changping Xiong 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 237 KB

Let A be a subalgebra with the unit operator I in B(H ), we say that a linear mapping ϕ from A into B(H ) is a generalized derivable mapping at zero point if ϕ(ST ) = ϕ(S)T + Sϕ(T ) -Sϕ(I )T for any S, T ∈ A with ST = 0. In this paper, we show the following main result: every norm-continuous general