子空间格代数上的局部Lie导子

Local Lie Derivations of Subspace Lattice Algebras

引入了局部Lie导子的概念,研究了AlgL上的局部Lie导子,其中L是Banach空间X上的子空间格且X≠X_,得到了关于AlgL上局部Lie导子的两个重要结论.

We introduce the definition of local Lie derivation,discuss the local Lie derivationsof AlgL, where L is a subspace lattice on Banach space X and X ≠ X , and obtain twoimportant conclusions of the local Lie derivations on AlgL.