检索结果-南通市图书馆

Nuclearity and Finite-Representability in the System of Completely Integral Mapping Spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第5期40卷 1197-1214页

作者： Zhe DONG Ji Cheng TAO Ya Fei ZHAO department of Mathematics Zhejiang UniversityHangzhou 310027P.R.China department of Mathematics China Jiliang UniversityHangzhou 310018P.R.China department of Mathematics Zhejiang International Studies UniversityHangzhou 310023P.R.China

In this paper,we investigate local properties in the system of completely integral mapping *** introduce notions of injectivity,local reflexivity,exactness,nuclearity,finite-represent ability and WEp in the system of completely integral mapping *** we obtain that any finite-dimensional operator space is injective in the system of completely integral mapping *** we prove that C is the unique nuclear operator space and the unique exact operator space in this *** also show that C is the unique operator space which is finitely representable in{T_(n)}n∈Nin this *** corollaries,Kirchberg’s conjecture and QWEp conjecture in the system of completely integral mapping spaces are false.

关键词： Completely integral mapping space injectivity exactness nuclearity finite-representability WEp

Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第5期40卷 1345-1359页

作者： Jun Tao DU Song Xiao Hasi WULAN department of Mathematics Guangdong University of Petrochemical TechnologyMaoming 525000P.R.China department of Mathematics Shantou UniversityShantou 515063P.R.China

In this paper,we give a universal description of the boundedness and compactness of Toeplitz operator T_(μ)^(ω)between Bergman spaces A_(η)^(p)and A_(υ)^(q)whenμis a positive Borel measure,1<p,q<∞andω,η,υare ... 详细信息

关键词： Bergman space Carleson measure Toeplitz operator regular weight

Variational Analysis Based on proximal Subdifferential on Smooth Banach Spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第2期40卷 595-618页

作者： Xi Yin ZHENG department of Mathematics Yunnan UniversityKunming 650091P.R.China

This paper first shows that for any p∈(1,2)there exists a continuously differentiable function f on l^(p)(and L^(p))such that the proximal subdifferential of f is empty everywhere,and hence it is not suitable to develop theory on proximal subdifferential in the classical Banach spaces l^(p)and L^(p) with p∈(1,2).On the other hand,this paper establishes variational analysis based on the proximal subdifferential in the framework of smooth Banach spaces of power type 2,which conclude all Hilbert spaces and all the classical spaces l^(p)and L^(p)with p∈(2,+∞).In particular,in such a smooth space,we provide the proximal subdifferential rules for sum functions,product functions,composite functions and supremum functions,which extend the basic results on the proximal subdifferential established in the framework of Hilbert *** of our main results are new even in the Hilbert space *** applications,we provide KKT-like conditions for nonsmooth optimization problems in terms of proximal subdifferential.

关键词： Smooth Banach space proximal subdifferential proximal normal cone KKT condition

Tissue adhesive,ROS scavenging and injectable pRp-based‘plasticine’for promoting cartilage repair

在线全文

学校读者我要写书评

暂无评论

Regenerative Biomaterials 2024年第1期3卷 94-107页

作者： Shiao Li Dawei Niu Haowei Fang Yancheng Chen Jinyan Li Kunxi Zhang Jingbo Yin peiliang Fu department of Orthopedics Shanghai Changzheng HospitalNaval Medical UniversityShanghai 200003P.R.China department of polymer Materials School of Materials Science and EngineeringShanghai UniversityShanghai 200444P.R.China

platelet-rich plasma(pRp)that has various growth factors has been used clinically in cartilage ***,the short residence time and release time at the injury site limit its therapeutic *** present study fabricated a granular hydrogel that was assembled from gelatin microspheres and tannic acid through their abundant hydrogen *** microspheres with the gelatin concentration of 10wt%and the diameter distribution of 1-10 lm were used to assemble by tannic acid to form the granular hydrogel,which exhibited elasticity under low shear strain,but flowability under higher shear *** viscosity decreased with the increase in shear ***,the granular hydrogel exhibited self-healing feature during rheology ***,granular hydrogel carrying pRp not only exhibited well-performed injectability but also performed like a‘plasticine’that possessed good *** granular hydrogel showed tissue adhesion ability and reactive oxygen species scavenging *** hydrogel carrying pRp transplanted to full-thickness articular cartilage defects could integrate well with native cartilage,resulting in newly formed cartilage articular fully filled in defects and well-integrated with the native cartilage and subchondral *** unique features of the present granular hydrogel,including injectability,plasticity,porous structure,tissue adhesion and reactive oxygen species scavenging provided an ideal pRp carrier toward cartilage tissue engineering.

关键词： cartilage regeneration granular hydrogel gelatin tannic acid pRp

Hall Algebras and Quantum Symmetric pairs of Kac-Moody Type Ⅱ

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第3期40卷 806-822页

作者： Ming LU Run Ze SHANG department of Mathematics Sichuan UniversityChengdu 610064P.R.China

We extend the ■Hall algebra realization of ■quantum groups arising from quantum symmetric pairs,which establishes an injective homomorphism from the universal ■quantum group of Kac-Moody type to the ■Hall algebra ... 详细信息

关键词： Quantum symmetric pairs Hall algebras Quiver with involutions

Relative Broken Family Sensitivity

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第9期40卷 2297-2306页

作者： Zhuo Wei LIU Tao YU department of Mathematics Shantou UniversityShantou 515063P.R.China

Letπ:(X,T)→(Y,S)be a factor map between two topological dynamical systems,and F_(a) Furstenberg family of *** introduce the notion of relative broken *** Fs(***,Finf)be the families consisting of all syndetic subsets(*** upper Banach density subsets,infinite subsets).We show that for a factor mapπ:(X,T)→(Y,S)between transitive systems,πis relatively broken F-sensitive for F=Fs or Fpubd if and only if there exists a relative sensitive pair which is an F-recurrent point of(R_(π),T^((2)));is relatively broken Finf-sensitive if and only if there exists a relative sensitive pair which is not *** a factor mapπ:(X,T)→(Y,S)between minimal systems,we get the structure of relative broken F-sensitivity by the factor map to its maximal equicontinuous factor.

关键词： Relative sensitivity recurrent points Furstenberg family relative sensitive pairs maximal equicontinuous factor

Some Rotundities of Orlicz–Lorentz Spaces

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第8期40卷 1893-1919页

作者： Wan Zhong GONG peng WANG department of Mathematics Anhui Normal UniversityWuhu 241000P.R.China

K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space *** in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more complicated than those of UR,LUR and *** this paper we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual space and H_(μ)property ofΛ_(ϕ,ω)^(◦)[0,γ).

关键词： Orlicz-Lorentz space Orlicz norm k-uniform rotundity locally k-uniform rotundity krotundity

Emergent Geometry of Kp Hierarchy

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第1期40卷 3-25页

作者： Jian ZHOU department of Mathematical Sciences Tsinghua UniversityBeijng 100084P.R.China

We explain how to construct a quantum deformation of a spectral curve associated to a tau-function of the Kp *** construction is applied to Witten-Kontsevich tau-function to give a natural explanation of some earlier ... 详细信息

关键词： Kp hierarchy tau-functions spectral curves

Laser speckle contrast imaging to predict the effect of temporary spinal cord stimulation in postherpetic neuralgia patients: A prospective observational study

在线全文

学校读者我要写书评

暂无评论

Journal of Innovative Optical Health Sciences 2024年第1期17卷 69-75页

作者： Xiang Huang Dacheng Tang pan Chen Lumiao Chen Xiaohong Li Xiaoping Wang department of pain Management The First A±liated Hospital Jinan University Guang ZhouGuangdong 510630P.R.China department of pain Management The First people's Hospital of Foshan Foshan City Guangdong 528000P.R.China

Temporary spinal cord stimulation(tSCS)can effectively reduce the pain and severity of postherpetic neuralgia(pHN).However,there are no effective and objective methods for predicting the effects of tSCS on *** speckle contrast imaging(LSCI)is frequently used in neurology to evaluate the effectiveness of *** assess the accuracy of LSCI in predicting the impact of tSCS on pHN,14 adult patients receiving tSCS treatments for spinal nerve-innervated(C6-T2)pHN participated in this observational *** analog scale(VAS)assessments and LSCI bloodflow images of the-ngers were recorded after the tSCS *** results showed that the VAS scores of all patients decreased ***,the bloodflow index(BFI)values were signi-cantly higher than they were before the *** bloodflow and pain alleviation were positively ***-ndings indicated that spinal nerve pHN(C6-T2)was signi-cantly reduced by *** alleviation by tSCS was positively correlated with increased bloodflow in the *** effect of tSCS on pHN may thus be predicted using an independent and consistent indicator such as LSCI.

关键词： Laser speckle contrast imaging temporary spinal cord stimulation postherpetic neuralgia