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Characterizations of all-derivable points in nest algebras
All-derivable point nest algebra derivable linear mapping at G
2011/9/1
Abstract: Let $\mathcal{A}$ be an operator algebra on a Hilbert space. We say that an element $G\in {\mathcal{A}}$ is an all-derivable point of ${\mathcal{A}}$ if every derivable linear mapping $\phi$...
The Existence of Maximal $W^*$-Closed Submodules in Nest Algebra Modules
Finite-partition submodule Finite Finite rank operator $w^{*}$-closure
2007/12/11
Using the technique of annihilators, we characterize the $w^{*}$-closure of the finite-partition submodule ${{\mathscr R}({\mathscr N}, \sim)}$ of a weakly closed nest algebra module ${\mathscr U}$ co...
Nest代数的某些范数闭理想
Nest代数 Jacobson根 闭双边理想 广义Ringrose特征
2007/12/10
设$R_N$是Ｎｅｓｔ代数ａｌｇＮ的Ｊａｃｏｂｓｏｎ根，用$J_N^n$表示由$R_N^n=\{T_1T_2\codts T_n;\forall T_i\in R^N,1\leq i\leq n\}$；生成的ａｌｇＮ的范数闭双边理想。Ｊ．Ｒ．Ｒｉｎｇｒｏｓｅ［１，定理５．４］给出了$R_N$的Ｋ１ｎｇｒｏｓｅ特征，本文将给出$J_N^n$具有广义Ｒｉｎｇｒｏｓｅ特征的充分必要条件，这个结果是［１...