摘要
本文在矩阵代数M2(C)和M3(C)中由一个极大套和由一个分离向量决定的秩1投影生成的Kadison-Singer格及Kadison-Singer代数的基础上,将该类投影分别嵌入到矩阵代数M4(C)与M6(C)中,构造出了生成M4(C)与M6(C)的Kadison-Singer格并计算出了相应的Kadison-Singer代数。
For given Kadison-Singer lattices in matrix algebras  M2(C) and M3(C)  which is generated by a maximal nest and rank 1 operator determined by a separating vector, the paper constructs new Kadison-Singer lattices in M4(C) and  M6(C)which generate the full matrix algebras M4(C)  and  M6(C)respectively.
出处
《理论数学》
2012年第3期131-137,共7页
Pure Mathematics
