Let A be a subalgebra with the unit operator I in B(H ), we say that a linear mapping Ο from A into B(H ) is a generalized derivable mapping at zero point if Ο(ST ) = Ο(S)T + SΟ(T ) -SΟ(I )T for any S, T β A with ST = 0. In this paper, we show the following main result: every norm-continuous general
Derivable mappings at unit operator on nest algebras
β Scribed by Jun Zhu; Changping Xiong
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 169 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π into an πβbimodule β³οΈ. We show that if β³οΈ is a weak\* closed operator algebra containing π then there are an element __S__ β β³οΈ and a linear functional __f__ on π such that __Ξ΄__ (__A__) = __SA__ β __AS__ + __f__ (__A__)__I__ fo
In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or complex Banach spaces. As applications, we show that every weakly continuous and surjective local automorphism (or, anti-automorphism) on a nest algebra with an additional property is either an autom