On derivable mappings

A linear mapping δ from an algebra A into an A-bimodule M is called derivable at c∈A if δ(a)b+aδ(b)=δ(c) for all a,b∈A with ab=c. For a norm-closed unital subalgebra A of operators on a Banach space X, we show that if C∈A has a right inverse in B(X) and the linear span of the range of rank-one operators in A is dense in X then the only derivable mappings at C from A into B(X) are derivations; in particular the result holds for all completely distributive subspace lattice algebras, J-subspace lattice algebras, and norm-closed unital standard algebras of B(X). As an application, every Jordan derivation from such an algebra into B(X) is a derivation. For a large class of reflexive algebras A on a Banach space X, we show that inner derivations from A into B(X) can be characterized by boundedness and derivability at any fixed C∈A, provided C has a right inverse in B(X). We also show that if A is a canonical subalgebra of an AF C^∗-algebra B and M is a unital Banach A-bimodule, then every bounded local derivation from A into M is a derivation; moreover, every bounded linear mapping from A into B that is derivable at the unit I is a derivation.     

以幂零李代数R_n为幂零根基的可解李代数(英文)

In this paper we explicitly determine automorphism group of filiform Lie algebra Rn to find the indecomposable solvable Lie algebras with filiform Lie algebra Rn nilradicals.We also prove that the indecomposable solvable Lie algebras with filiform Rn nilradicals is complete.     

例谈中值定理应用中辅助函数的引入

通过实例分析,探讨在中值定理应用中如何构造辅助函数的问题.以求开阔学生在面对此类问题时的解题思路.     

Banach代数上的高阶Jordan-triple导子系的广义Hyers-Ulam-Rassias稳定性

针对Banach代数上的高阶Jordan—triple导子系,基于与函数方程有关的广义的Hyers—Ulam-Rassias稳定性的原理．采用线性算子论的方法,结合广义的Jensen等式,证明了Banach代数上与高阶导子系有关的函数方程具有广义的Hyers—Ulam-Rassias稳定性．证明结果表明该方法实用性强,...     

导子交换子幂值的零化子条件

Let R be a prime ring with center Z(R), I a nonzero ideal of R, d a nonzero derivation of R and 0≠a∈ R. In the present paper, our object is to study the situation a[d(xk), xk]n∈ Z(R) for all x ∈ I under certain conditions, where n(≥ 1), k(≥ 1) are fixed integers.     

The Even Part of Finite-Dimensional Modular Lie Superalgebra Г

Let F be the underlying base field of characteristic p ＞ 3 and denote by Γō the even part of the finite-dimensional Lie superalgebra Γ.We give the generator sets of the Lie algebra Γō.Using certain properties of the canonical tori of Γō,we describe explicitly the derivation algebra of Γō.     

蛋白氨基酸衍生化条件的正交试验

孟庆国，张铁垣．蛋白氨基酸衍生化条件的正交试验．数理统计与管理，１９９８，１７（３），４～６．蛋白氨基酸经酯化和酰化两步衍生化之后，才能进行气相色谱分析，影响衍生化程度的因素主要是酯化时间、酯化温度、酰化时间和酰化温度。用正交试验研究了上述四因素对氨基酸衍生化程度的影响，正交表采用Ｌ９（３４），使实验次数由传统实验的８１次减少为９次，实验指标为相对重量校正因子Ｓ′Ｗ（内标物为鸟氨酸）。实验结果表明：对精氨酸、色氨酸和蛋氨酸来说，酰化时间的影响最大，酰化时间越长，对精氨酸和色氨酸的衍生化越有利，而蛋氨酸则正好相反，另外三因素对上述三种氨基酸衍生物的Ｓ′Ｗ影响较小。其余１６种氨基酸的Ｓ′Ｗ在９次实验中变化不大。     

von Neumann代数中套子代数上的Lie导子

本文对因子von Neumann代数中套子代数上的线性映射L:alg_Mβ→M满足L(AB—BA)=L(A)B-BL(A)+AL(B)-L(B)A( A,B∈alg_Mβ)进行了刻划,证明了存在线性函数h:alg_Mβ→C;且对任意A,B∈alg_Mβ,有h(AB—BA)=0和算子T∈M,使得对任意X∈alg_Mβ,都有L(X)=XT-TX+h(X)I.