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A Characterization of Generalized Derivations of JSL Algebra

發(fā)布時(shí)間:2018-07-06 17:01

  本文選題:Generalized + derivation; 參考:《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,

本文編號(hào):2103503

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