Banach空间上有界可逆线性变换逆变换的结构

Fillmore在[1]中得到一个定理:设A,T是Banach空间X上的线性变换,A有界,若Lat(A) Lat(T)且AT=TA,则T是A的多项式.在本文里,以此作为引理,讨论了Banach空间上可逆线性变换A在什么情况下,A-1可表示为A的多项式.本文最主要的结论是定理3.4:设X是Banach空间,A是X上的有界线性变换,且可逆,则A-1是A的多项式当且仅当A-1是A的局部多项式.     

热处理条件对双粉工艺中Bi—2212粉末的相组成影响

实验研究了Bi-2212粉末在空气，8％O2和纯O2种处理的相组成特征，指出通过改变热处理温度和气氛可控制前驱粉中对2223成相影响较大的(Bi，Pb)-2212相，Ca2PbO4相，2201相和14：24AEC等相。     

LIE ALGEBRA K(n,μj,m)OF CARTAN TYPE OF CHARACTERISTIC p=2.

Let K(n,μ_j,m),n=2r+1,denote the Lie algebra of characteristic p=2,which isdefined in [4].In the paper the restrietability of K(n,μ_j,m)is discussed and it is provedthat,when r≡1(mod 2)and r>1,1(ad.f)=n+1 if and only if 0≠f∈.Then theinvariance of some filtrations of K(n,μ_j,m)and the condition of isomorphism of K(n,μ_j,m)and K(n′,μ_j′,m′)are obtained.Besides,the generators and the derivation algebraof K(n,μ_l,m)are discussed.The results also hold,when r=0(mod 2)and r>0.     

THE EFEFCT OF MAGNETIC FIELD ON POLYMERIZATION OF STYRENE IN THE PRESENCE OF POLYVINYL NAPHTHALENE AND POLYVINYL BENZOPHENONE

In the process of bulk photopolymerization of styrene initiated by AIBN decomposition polyvinyl benzophenone (PVB) can supply an effective cage for triplet-triplet energy transfer between PVB macromolecules and small molecules of AIBN to influence the molecular weight of polystyrene in weak magnetic field (less than 0.035T), that was different from the case of polyvinyl naphthalene (PVN) which supplied cages for this system only in the stronger magnetic field (more than 0.2 T) studies. It was found that in the same conditions, PVN could exert more tremendous influences on the bulk photopolymerizatiou system of styrene than PVB because in the stronger magnetic field the triplet PVN had much longer life time than PVB.     

超低碳含量超细Bi系超导体原始粉末的制备

超低碳含量超细Ｂｉ系超导体原始粉末的制备毛传斌＊周廉杜泽华（东北大学材料学工程系沈阳１１０００６）（西北有色金属研究院超导材料研究所宝鸡７２１０１４）１引言粉末套管法制备的银包套（Ｂｉ，Ｐｂ）２Ｓｒ２Ｃａ２Ｃｕ３Ｏｘ（２２２３）超导带材（Ａｇ／Ｂｉ（...     

环状芴基张力半导体拉曼光谱理论与实验研究

环状芴基张力半导体由于其特殊的分子结构，发射状排布的p轨道和纳米级空腔等诸多特点，引起了科学家广泛的关注.相对于直链型芴基半导体，环状芴基张力半导体展现出独特的光电性质.然而，迄今为止其振动性质没有被报道.对四元环芴的晶体与直链四聚芴粉末样品进行拉曼光谱表征和归一化处理，并结合理论计算.结果表明，与直链寡聚芴相比，环芴类似于碳纳米管的G峰发生了偏移，并且低频区域拉曼频移峰的峰强增加.其原因是由于张力的引入，改变了芴基主链的骨架和电子结构，加强芴骨架上π电子离域，同时使环芴中每个芴单元都参与到振动中.该研究结果为芴基张力半导体材料拉曼光谱的研究提供了一定的工作基础.     

严格循环的算子代数

设X是半自共轭的Banach空间,而A是B(X)的严格循环的交换子代数,考虑算子代数A的一些性质,这些性质与算子代数的自反性有关,而且这些性质为讨论A的自反性提供了理论基础.     

LIE ALGEBRA K$(n,\mu _j,m)$ OF CARTAN TYPE OF CHARACTERISTIC p=2

Let $K(n,\mu _j,m),n=2r+1$,denote the Lie algebra of characteristic p=2,which is defined in [4].In the paper the restrictability of $K(n,\mu _j,m)$ is discussed and it is proved that,when $r\equiv 1(mod 2)$ and $r>1,I(ad f)=n+1$ if and only if $0\neq f \in $. Then the invariance of some filtrations of K(n,\mu,m) and the condition of isomorphism of K(n,\mu _i,m) and K(n',\mu _j ^',m') are obtained.Besides,the generators and the derivation algebra of K(n,\mu _i,m) are discussed.The results also hold,when $r\equiv 0 (mod 2)$ and r>0.     

一类环上G_n(R)的自同构

设R是连通可和环, 2是R的单位。R上一切形如■的可逆上三角阵构成的乘法群为G_n(R),设Λ是G_n(R)的自同构,则Λ必为以下形状之一; 其中P∈G_n(R),σ是R的自同构; 其中τ是R的自同构,p(A)是A的(n,n)位置的元素。     

原子吸收分光光度计用于分子吸收分析测定稀土氧化物中铝和硅

用原子吸收分光光度计代替紫外－可见光度计测定元素的分子络合物的分子吸收。作为初步尝试，测定了稀土氧化物中的铝和硅，取得了满意的结果。