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Autor:
Lin Chen, Fang Yan Lu
Publikováno v:
Acta Mathematica Sinica, English Series. 33:495-500
Let Alg ℒ be a J -subspace lattice algebra on a Banach space X and M be an operator in Alg ℒ. We prove that if δ: Alg ℒ → B(X) is a linear mapping satisfying δ(AB) = δ(A)B + Aδ(B) for all A,B ∈ Alg ℒ with AMB = 0, then δ is a general
Autor:
Fang Yan Lu, Jin Hai Xie
Publikováno v:
Acta Mathematica Sinica, English Series. 22:1017-1020
Let ℛ and \({\fancyscript S}\) be arbitrary associative rings. A mapping φ of ℛ onto \({\fancyscript S}\) is called a multiplicative isomorphism if φ is bijective and satisfies φ(xy) = φ(x)φ(y) for all x, y ∈ ℛ. In this short note, we es