Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also ext...Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;Shuang SUN;Yu Wen WANG;Wen Jing展开更多
Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies sever...Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies several related left derived functors.Then we give some criteria for computing the J-resolution dimensions of modules in terms of the properties of Tor_n^((J,J'))(-,-).展开更多
1. W. Tsai and N. Dean, “The CCP's Learning System: Thought Unification and Regime Adaptation”, The China Journal, Vol.69, 2013, pp.87-107.2. Y. Cai and L. Zhu, “Disciplining Local Officials in China: The Case ...1. W. Tsai and N. Dean, “The CCP's Learning System: Thought Unification and Regime Adaptation”, The China Journal, Vol.69, 2013, pp.87-107.2. Y. Cai and L. Zhu, “Disciplining Local Officials in China: The Case of Conflict Management”,The China Journal, Vol.70, 2013, pp.98-119.展开更多
文摘Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;Shuang SUN;Yu Wen WANG;Wen Jing
文摘Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies several related left derived functors.Then we give some criteria for computing the J-resolution dimensions of modules in terms of the properties of Tor_n^((J,J'))(-,-).
文摘1. W. Tsai and N. Dean, “The CCP's Learning System: Thought Unification and Regime Adaptation”, The China Journal, Vol.69, 2013, pp.87-107.2. Y. Cai and L. Zhu, “Disciplining Local Officials in China: The Case of Conflict Management”,The China Journal, Vol.70, 2013, pp.98-119.
