节点文献
保非间断左理想线性映射
Non - Discontinuous Left Ideal Preserving Linear Mapping
【摘要】 设N为完备Nest,满足dim(0+)≥2,dim((H-)~┴)≥2,若φ:algN→algN为弱连续的保非间断左理想线性双射,则φ有表达式φ(T)=ATB,其中A,B∈B(H)。
【Abstract】 Let Nbe a complete Nest which satisfied dim(0+ )≥2 and dim(H_ ) ⊥≥2, if : alg N→algNs a weakly continuous non - discontinuous left ideal preserving linear maping, then it has the form of (T) = ATB, where A, B are in B(H).
【关键词】 Nest代数;
秩一算子;
极小左理想;
非间断左理想;
【Key words】 Nest algebra; rank one operator; minimal left ideal; non- discontinuous left ideal;
【Key words】 Nest algebra; rank one operator; minimal left ideal; non- discontinuous left ideal;
【基金】 湖北省自然科学基金(995170).
- 【文献出处】 湖北民族学院学报(自然科学版) ,Journal of Hubei Institute For Nationalities , 编辑部邮箱 ,2003年03期
- 【分类号】O177
- 【下载频次】7