保持算子乘积谱函数并零的映射

Maps Preserving the Union of and Spectrum of Operator Products

通过对局部凸空间上的标准算子代数上保持算子乘积谱函数并零集合的映射的刻画,得到了复无限维Banach空间上标准算子代数上保持算子乘积谱函数并零集合的映射的具体形式。

By characterizing the maps between standard operator algebras on locally convex spaces preserving the union of and the spectrum of products of operators,we obtain the characterization of the maps preserving the union of and the spectrum of products of operators on standard operator algebras on infinite dimensional complex Banach spaces.