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一类上三角算子矩阵的相似性与酉相似性
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作者 林丽琼 阙佳华 张云南 《数学物理学报(A辑)》 CSCD 北大核心 2022年第5期1281-1293,共13页
该文引入一类与Cowen-Douglas算子相关的上三角算子矩阵,并在Banach空间上研究其相似性,在Hilbert空间上研究其酉相似性.
关键词 BANACH空间 HILBERT空间 上三角算子矩阵 相似 酉相似
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Existing Problems in Financial Support for New Urbanization and Recommendations 被引量:3
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作者 Songtao LIU Junfan WANG +1 位作者 Yunyang ZENG liqiong lin 《Asian Agricultural Research》 2015年第10期1-3,共3页
Firstly,this paper discussed differences between traditional urbanization and new urbanization. Then,from current situations of financial support for new urbanization,it analyzed existing problems in financial support... Firstly,this paper discussed differences between traditional urbanization and new urbanization. Then,from current situations of financial support for new urbanization,it analyzed existing problems in financial support for new urbanization. The problems include difficulty in infrastructure financing,shortage of funds for small and medium sized enterprises,narrow scope of financial services,and uneven industries of financial support. Finally,it came up with pertinent recommendations,including implementing diversified infrastructure financing modes,solving financing difficulty of small and medium sized enterprises through many channels,strengthening service level and expanding service scope of financial institutions,and changing the situation of uneven industry of financial support,in the hope of providing helpful references. 展开更多
关键词 NEW URBANIZATION FINANCIAL SUPPORT Uneven SUPPORT
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可相位恢复p-框架的稳定性
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作者 林丽琼 张云南 蔡碧琼 《中国科学:数学》 CSCD 北大核心 2022年第1期51-62,共12页
相位恢复问题在物理和工程中有着广泛的应用.设X是Banach空间,1<p<∞.设Φ={x_(n)}_(n)∈I是X上的p-框架.若对任意x^(∗);y^(∗)∈X^(∗),等式|x^(∗)(x_(n))|=|y^(∗)(x_(n))|对任意n∈I成立蕴涵存在||=1使得x^(∗)=y^(∗),则称Φ是可... 相位恢复问题在物理和工程中有着广泛的应用.设X是Banach空间,1<p<∞.设Φ={x_(n)}_(n)∈I是X上的p-框架.若对任意x^(∗);y^(∗)∈X^(∗),等式|x^(∗)(x_(n))|=|y^(∗)(x_(n))|对任意n∈I成立蕴涵存在||=1使得x^(∗)=y^(∗),则称Φ是可相位恢复的.本文证明在有限维Banach空间上,可相位恢复p-框架是稳定的,但在有Schauder基的无限维Banach空间上,可相位恢复p-框架不是稳定的.本文也说明在无限维Banach空间上,可通过有限维空间足够好的逼近来得到可相位恢复p-框架的稳定性结果. 展开更多
关键词 BANACH空间 p-框架 相位恢复
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编排p-框架和编排q-Riesz基
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作者 林丽琼 张云南 周燕 《中国科学:数学》 CSCD 北大核心 2018年第4期519-530,共12页
作为Hilbert空间上编排框架和编排Riesz基的推广,本文研究Banach空间上编排p-框架和编排q-Riesz基.两个p-框架{x_n~*}_(n=1)~∞和{y_n~*}_(n=1)~∞称为是可编排的,如果存在常数0<A≤B<+∞,使得对N的任意子集σ,序列{x_n~*}_(n∈σ... 作为Hilbert空间上编排框架和编排Riesz基的推广,本文研究Banach空间上编排p-框架和编排q-Riesz基.两个p-框架{x_n~*}_(n=1)~∞和{y_n~*}_(n=1)~∞称为是可编排的,如果存在常数0<A≤B<+∞,使得对N的任意子集σ,序列{x_n~*}_(n∈σ)∪{y_n~*}_(n∈σ~c)是一个p-框架且有p-框架界A和B.每个序列{x_n~*}_(n∈σ)∪{y_n~*}_(n∈σ~c)称为一个编排.可编排的q-Riesz基具有类似的定义.本文证明Banach空间上的两个p-框架是可编排的当且仅当它们的每个编排是个p-框架,考虑对偶空间中两个q-Riesz基的可编排性,即借助q-Riesz序列和p-框架的性质给出两个q-Riesz基的每个编排均是q-Riesz基的条件,借助子空间距离的概念给出两个q-Riesz基可编排的几何特征.此外,本文还考虑编排p-框架和编排q-Riesz基的摄动,如小摄动和算子摄动. 展开更多
关键词 p-框架 q-Riesz基 子空间距离 摄动
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The effects of icariine concentration on osteoclasts bone resorption induced by titanium particles in vitro 被引量:3
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作者 Yiyuan Zhang Yu lin +3 位作者 Lili Xiao Eryou Feng Wulian Wang liqiong lin 《Regenerative Biomaterials》 SCIE 2015年第3期197-202,共6页
In artificial joint replacement,osteoclast bone resorption induced by wear debris of the implant is a main reason for aseptic loosening.To extend the life of the prosthesis,detailed mechanisms of aseptic loosening and... In artificial joint replacement,osteoclast bone resorption induced by wear debris of the implant is a main reason for aseptic loosening.To extend the life of the prosthesis,detailed mechanisms of aseptic loosening and the ways to prevent it should be explored.The aim of this study was to investigate the in vitro effect of icariine on the bone resorption of osteoclasts induced by titanium particles.Macrophage colony stimulating factor(M-CSF)and receptor activator of NF-kB ligand(RANKL)were used to generate osteoclasts from RAW264.7 precursors.The proliferation of RAW264.7 precursors in the presence of different doses of icariine was evaluated by MTT assay.The cells were treated with titanium particles,titanium particles with icariine and culture medium only(control),respectively.At 48 h after treatment,the expression level of receptor activator of NF-kB(RANK)was detected by ELISA,and messenger RNA(mRNA)levels of tartrate-resistant acid phosphatase(TRAP),matrix metalloproteinase 9(MMP-9),carbonic anhydrase II(CAII)and Cathepsin K(CtsK)were determined by real-time polymerase chain reaction.Western blot was applied to analyze the expression levels of TRAP,RANK and CtsK.In addition,bone chips were cultured in the above conditions,and Toluidine blue staining was then employed to calculate the number and area of resorption pits in the bone chips.After treatment with icariine,expression level of RANK was significantly decreased in the RAW264.7 cell that induced by titanium particle and its cultural medium,mRNA and protein levels of TRAP,CAII,MMP-9 and CtsK were reduced as well.In addition,the numbers of bone resorption pits and areas on bone slices were both reduced by icariine challenging.Icariine could inhibit bone resorption of osteoclast induced by titanium particle,and it might be used as a promising drug for treating of aseptic loosening. 展开更多
关键词 icariine titanium particle OSTEOCLAST bone resorption aseptic loosening
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