共查询到18条相似文献，搜索用时 78 毫秒
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设 N~6是可分的 Hilbert 空间 H 上的完备 Nest,A 表示由 N~6决定的 Nest 代数,我们得到了 B(H)是一类 A-子模的范数主双边的充要条件,其结果改进和推广了[1]的主要定理,同时也推广了[2]的某些定理. 相似文献
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设 N~6是可分的 Hilbert 空间 H 上的完备 Nest,A 表示由 N~6决定的 Nest 代数,我们得到了 B(H)是一类 A-子模的范数主双边的充要条件,其结果改进和推广了[1]的主要定理,同时也推广了[2]的某些定理. 相似文献
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研究了双圆盘上的内序列基子模,该子模与经典的单变量算子理论有着深刻的联系.完整地刻画了压缩算子Sz的紧性和正规性,同时回答了Yang于2002年提出的一个问题.还给出了赋值算子L(0)限制在内序列基商模上是紧算子的一个充要条件. 相似文献
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Let U be a weakly closed nest algebra module acting on a Hilbert space H. Given two operators X and Y in B(H), a necessary and sufficient condition for the existence of an operator T in U satisfying TX = Y is provided. 相似文献
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定义了子空间格代数的（弱闭双边）模,对有限维Hilbert空间的强自反子空间格代数的模及原子Boolean格代数的模中的有限秩算子进行了讨论,得到了有限秩算子一定可以表示为秩1算子的和。 相似文献
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弱闭T(N)-模的预零化子的等距映射 总被引：1，自引：0，他引：1
本文刻划了弱闭T(N)-模的预零化子间的等距映射.设u,W分别为由左连续序同态N→~N和N→~N所确定的弱闭T(N)-模, u(?),W(?)分别为u,W的预零化子,Φ为由u(?)到W(?)上的线性等距映射.若(0)*=(0)#=(0),dim(0)+≠1且min{dim(H(?)~H),dim(He(?)^H)}≥2,则存在酉算子Ui,Vi(i=1,2),使得Φ(A)=U1AV*1或Φ(A)=U2A*V2*. 相似文献
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设Ｒ＿Ｎ是Ｎｅｓｔ代数ａｌｇＮ的Ｊａｃｏｂｓｏｎ根,用表示由;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,本文将给出具有广义Ｒｉｎｇｒｏｓｅ特征的充分必要条件,这个结果是［１］中的Ｒｉｎｇｒｏｓｅ准则在上的一般化 相似文献
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Let be a locally compact group. Among other things, we proved in this paper that for an IN-group , the extreme points of the unit ball of the Fourier-Stieltjes algebra are not in the Fourier algebra if and only if is non-compact, or equivalently, there is no irreducible representation of which is quasi-equivalent to a subrepresentation of the left regular representation of if and only if is non-compact. This result is a non-commutative version of the following well known result: For any locally compact group , the extreme points of the unit ball of the measure algebra are not in the group algebra if and only if is non-discrete. On the other hand, we also showed that if has the RNP, then there are extreme points of the unit ball of that are in . Since it is well known there are non-compact locally compact group for which has the RNP, there exist non-compact locally compact groups where extreme points of the unit ball of can be in . This shows that the condition be an IN-group cannot be entirely removed.
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The Frattini Subalgebra of n-Lie Algebras 总被引：3，自引：0，他引：3
Rui Pu BAI Liang Yun CHEN Dao Ji MENG 《数学学报(英文版)》2007,23(5):847-856
In this paper, we mainly study the structural notions of Frattini subalgebra and Jacobson radical of n-Lie algebras. The properties on Frattini subalgebra and the relationship between the Frattini subalgebra and Jacobson radical are studied. Moreover, we also study them when an n-Lie algebra is strong semi-simple, k-solvable and nilpotent. 相似文献
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Jan Krempa 《代数通讯》2013,41(1):98-103
We construct a finitely generated monoid S with a zero element such that for every field K the Jacobson radical of the monoid algebra K[S] is a sum of nilpotent ideals but is not nilpotent. Moreover, the contracted monoid algebra K 0[S] is a monomial algebra. If K is a field of characteristic p > 0, then we construct a finitely presented group H p such that the Jacobson radical J of the group algebra K[H p ] is a sum of nilpotent ideals, but is not nilpotent. Moreover, K[H p ]/J is a domain. 相似文献
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A prime ideal of the symmetric algebra of an R-module N is associated to every prime submodule M ?N and this assignment is then used to obtain a new characterization of the radical of a submodule. Several applications of these results are also included. 相似文献
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设Ｈ是Ｈｏｐｆ代数，Ａ是右Ｈ－余模代数，若（，）满射，则Ｊ（Ａ＾ｃｏＨ）＝Ｌ＾Ｈ（Ａ）∩＾ｃｏＨ，而且，若Ｊ（Ａ）是余模理想，则Ｊ（Ａ＾ｃｏＨ）＝Ｊ＾Ｈ（Ａ）∩Ａ＾ｃｏＨ。 相似文献
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本文证明了“中一个幂等元的构造”一文中的幂等元Ｑ不是套代数ａｌｇＮ中的算子,因此也不是如该文作者所断言的是中的元。 相似文献
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DONG Zhe 《数学年刊B辑(英文版)》2003,24(3):323-330
This paper studies the tensor product RN RM of Jacobson radicals in nest algebras, and obtains that RN RM = {T∈B(H1 H2) : T(N M)(?)N_ M_, N∈N,M∈M}; and based on the characterization of rank-one operators in RN RM,it is proved that if N, M are non-trivial then RN RM=R if and only if N, M are continuous. 相似文献