| 摘要: |
| 研究了矩阵代数Mmn(〖XCC.TIF,JZ〗)中不变子空间投影格〖XCL.TIF,JZ〗生成的Von Neumann代数〖XCL.TIF,JZ〗″；证明了〖XCL.TIF,JZ〗是生成Mmn(〖XCC.TIF,JZ〗)的Kadison Singer格；并通过格的关系图给出了〖XCL.TIF,JZ〗的Hasses关系图. |
| 关键词: Kadison Singer格 Kadison Singer代数 矩阵代数 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| A class generates Mmm |
|
LI Xiao kui,CHENG Le le,XIANG Yu ling,CHEN Ben ju
|
| Abstract: |
| This paper reseavches Von Neumann algebra 〖XCL.TIF,JZ〗″ generated by invariant subspace lattice 〖XCL.TIF,JZ〗 of mantrix algebra Mmm(〖XCC.TIF,JZ〗) ,and provesthat 〖XCL.TIF,JZ〗 is Kadison Singer lattice generated by Mmm(〖XCC.TIF,JZ〗),and gives the 〖XCL.TIF,JZ〗 diagram of Hasses. |
| Key words: Kadison Singer lattices Kadison Singer algebra matrix algebra |
