1) reflexive operator
自反算子
1.
A reflexive operator is constructed on the space l 2 by using unilateral shift operator.
利用单侧移位算子在l2 空间中构造了一个自反算子。
2) reflexive subspace
自反算子子空间
1.
n this paper,reflexive and hyperreflexive subspaces of L(H1,H2) are studied,some new reflexive and hyperreflexive subspaces are obtained and their applications are discussed.
讨论了算子子空间的自反和超自反性，获得了一些新的自反和超自反算子子空间。
3) Reflexive generalized inverse operator
自反广义逆算子
4) reflexive cosingular operator
自反余奇异算子
1.
On the reflexive cosingular operator ideals;
关于弱自反余奇异算子理想
2.
The definition of strictly cosingular operator is generalized to reflexive cosingular operator and weak reflexive cosingular operator.
推广严格余奇异算子的概念,定义自反余奇异算子和弱自反余奇异算子,分别得到了刻画它们的等价特征。
3.
Master s academic article " On the operator ideals of reflexive singular classes and relevant problems " introduces reflexive singular operator, weak reflexive singular operator,reflexive cosingular operator and weak reflexive cosingular operator, generating the concept of strict singular operator,strict cosingular operator and weak compact operator.
硕士学位论文《关于自反奇异类算子理想及其相关问题》引入了自反奇异算子、弱自反奇异算子、自反余奇异算子和弱自反余奇异算子的概念,推广了严格奇异算子、严格余奇异算子及弱紧算子的概念,分五节对其进行研究。
5) reflexive singular operator
自反奇异算子
1.
On the reflexive singular operator ideals;
关于弱自反奇异算子理想
2.
Master s academic article " On the operator ideals of reflexive singular classes and relevant problems " introduces reflexive singular operator, weak reflexive singular operator,reflexive cosingular operator and weak reflexive cosingular operator, generating the concept of strict singular operator,strict cosingular operator and weak compact operator.
硕士学位论文《关于自反奇异类算子理想及其相关问题》引入了自反奇异算子、弱自反奇异算子、自反余奇异算子和弱自反余奇异算子的概念,推广了严格奇异算子、严格余奇异算子及弱紧算子的概念,分五节对其进行研究。
6) weak reflexive singular operator
弱自反奇异算子
1.
Proves weak reflexive singular operators constitute a closed and injective general operator ideal and the space ideal generated by them is also injective.
证明了弱自反奇异算子全体构成(广义)闭、内射算子理想,由其生成的空间理想是内射空间理想。
2.
The definition of strictly singular operator is generalized to reflexive singular operator and weak reflexive singular operator.
推广严格奇异算子的概念,定义自反奇异算子和弱自反奇异算子,分别得到了刻画它们的等价特征。
3.
Master s academic article " On the operator ideals of reflexive singular classes and relevant problems " introduces reflexive singular operator, weak reflexive singular operator,reflexive cosingular operator and weak reflexive cosingular operator, generating the concept of strict singular operator,strict cosingular operator and weak compact operator.
硕士学位论文《关于自反奇异类算子理想及其相关问题》引入了自反奇异算子、弱自反奇异算子、自反余奇异算子和弱自反余奇异算子的概念,推广了严格奇异算子、严格余奇异算子及弱紧算子的概念,分五节对其进行研究。
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条