A Characterization of Generalized Derivations of JSL Algebra

发布时间：2018-07-06 17:01

  本文选题：Generalized + derivation　； 参考：《Acta Mathematica Sinica》2017年04期

【摘要】：Let AlgL be a J-subspace lattice algebra on a Banach space X and M be an operator in AlgL. We prove that if δ : AlgL → B(X) is a linear mapping satisfying δ(AB) = δ(A)B + Aδ(B)for all A, B ∈ AlgL with AMB = 0, then δ is a generalized derivation. This result can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.
[Abstract]:S Algbe a J-subspace lattice algebra on a Banach space X and M be an operator in AlgL. We prove that if 未: Algl B (X) is a linear mapping satisfying 未 (AB) = 未 (A) B A 未 (B) for all A, B 鈭，

本文编号：2103503