关于可加保幂零映射的一点注记

给出Mn(F)(n≥2，F=R或C)上所有保幂零可加满射的刻画．作为应用，得到Mn(C)上保相似性可加满射，保谱等性可加满射以及保特征值相等可加满射的刻画．     

Variational analysis of circular cone programs

This paper conducts variational analysis of circular programs, which form a new class of optimization problems in nonsymmetric conic programming, important for optimization theory and its applications. First, we derive explicit formulas in terms of the initial problem data to calculate various generalized derivatives/co-derivatives of the projection operator associated with the circular cone. Then we apply generalized differentiation and other tools of variational analysis to establish complete characterizations of full and tilt stability of locally optimal solutions to parameterized circular programs.     

套代数上保秩一幂零性的可加映射

${\cal N}$和${\cal M}$分别是实或复Banach空间$X$ ($\dim X >5$)和$Y$中的两个套且Alg${\cal N}$和Alg${\cal M}$分别是与套${\cal N}$和${\cal M}$相关的套代数.符号Alg加映射;秩一幂零算子;套代数Additive map,Rank one nilpotent operator,Nest algebra国家自然科学基金;清华大学校科研和教改项目;教育部高等学校博士点教育基金;国家自然科学基金;山西省自然科学基金2005-02-082007年4月25日${\cal N}$和${\cal M}$分别是实或复Banach空间$X$ ($\dim X >5$)和$Y$中的两个套且Alg${\cal N}$和Alg${\cal M}$分别是与套${\cal N}$和${\cal M}$相关的套代数.符号Alg加映射;秩一幂零算子;套代数Additive map,Rank one nilpotent operator,Nest algebra国家自然科学基金;清华大学校科研和教改项目;教育部高等学校博士点教育基金;国家自然科学基金;山西省自然科学基金2005-02-082007年4月25日令N和M分别是实或复Banach空间X(dim X>5)和Y中的两个套且AlgN和AlgM分别是与套N和M相关的套代数．符号AlgFN表示AlgN中所有有限秩算子全体．设Φ:AlgFN→AlgFM是可加映射,且值域包含AlgFM中的所有秩一幂零元．如果Φ-双边保秩一幂零性,作者证明了存在一个域自同构τ及τ-线性算子A和C使得要么对所有的秩一幂零元x(?)f∈AlgFN,Φ(x(?)f)=Ax(?)Cf,要么对所有的秩一幂零元x(?)f∈AlgFN,Φ(x(?)f)=Af(?)Cx．特别地,当X和Y是Hilbert空间且Φ是连续映射时,作者得到这类可加映射Φ的完全刻画．     

Pore size control of Pitch-based activated carbon fibers by pyrolytic deposition of propylene

In this paper, we attempted to narrow the pore size of Pitch-based activated carbon fiber (Pitch-ACF) by chemical vapor deposition (CVD) of propylene at 700 °C. The BET equation was used to estimate the specific surface areas. The micropore volumes were determined using DR equation, t-plot and _s-plot, and mesopore surface areas were determined by t-plot and _s-plot. The pore size distribution (PSD) of micropores and mesopore was investigated by micropore analysis method (MP method) and MK method, respectively. The relation between the graphite-like crystal interlayer distance and pore size was analyzed by X-ray diffraction (XRD). The results showed that the pore size of Pitch-ACF was gradually narrowed with increasing deposition time. The catalytic activation of Ni was attempted when Pitch-ACF was modified simultaneously by pyrolysis of propylene. The results obtained from the analysis of PSD of micropores, mesopores and macropores in Ni–P-ACF by density function theory (DFT) showed that the pore structure and surface chemistry were greatly changed due to introducing nickel catalyst.     

Novel amphoteric pH-sensitive hydrogels derived from ethylenediaminetetraacetic dianhydride, butanediamine and amino-terminated poly(ethylene glycol): Design, synthesis and swelling behavior

Novel amphoteric pH-sensitive hydrogels with pendant carboxyl and backbone tertiary amine groups were designed and synthesized. First, ethylenediaminetetraacetic dianhydride (EDTAD) reacted with butanediamine (BDA) via N-acylation reaction to give a polyamide prepolymer with pendant carboxyl groups (PEB–COOH); then amino-terminated poly(ethylene glycol) 500 (ATPEG500) was added as a cross-linking agent to produce the desired network polymer (PEB–ATPEG500–COOH). The obtained hydrogels are potentially degradable and non-toxic since its backbone and cross-linking sections are both linked by amide bonds and all monomers have been proved as safe. FTIR, ¹H NMR, ¹³C NMR and ninhydrin reaction method were employed to qualitatively and quantitatively characterize the obtained polymers. The effect of cross-linking agent amount, characterized by the molar ratios (R_m) of NH₂ groups in ATPEG500 to pendant COOH groups in PEB–COOH, on the swelling behavior of the proposed hydrogel was examined. The results indicate that the equilibrium swelling ratio decreases and the pH-sensitivity becomes retarded with the increase of R_m. For PEB–ATPEG500–COOH hydrogels with R_m no more than 0.42, they exhibited three SR_e variation zones at pH 2–4, pH 6–7 and pH 9–11, respectively, suggesting obvious and interesting amphoteric pH-sensitivity. In addition, the swelling kinetics tests on PEB–ATPEG500–COOH with R_m = 0.32 reveal that the swelling kinetics of proposed hydrogel follows a Fickian diffusion process in media of pH 7, and an anomalous diffusion process in media of pH 2 and 11. The above obtained results will facilitate the application of this proposed hydrogel in biomedical fields, particularly in the drug controlled release.     

毛细管气相色谱法测定保健食品、中药材中的五氯硝基苯残留

建立保健食品中五氯硝基苯残留量的毛细管气相色谱检测方法.样品经正己烷超声提取,硫酸净化,采用分流不分流进样方式,用弱极性毛细柱程序升温分离,电子俘获检测器检测,外标法定量.五氯硝基苯浓度在0.005～0.10 μg/mL范围内与峰面积线性相关,线性相关系数r=0.9996,方法检出限为0.0006 mg/kg,0.02...     

算子张量积及C_2上的初等算子

本文给出了形如的张量积算子成为自伴算子，Ｃ＿ｐ类算子，有限秩算子及一秩算子的充分必要条件，特别，作为应用，得到Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ类Ｃ＿２（Ｈ）上初等算子成为自伴算子，Ｃ＿ｐ类算子的充分必要条件．     

Maps preserving numerical ranges of operator products

Let be a complex Hilbert space, the algebra of all bounded linear operators on and the real linear space of all self-adjoint operators on . We characterize the surjective maps on or that preserve the numerical ranges of products or Jordan triple-products of operators.

     

二阶矩阵代数上保Jordan半乘积数值半径或交叉范数的映射

给出二阶矩阵代数上保单位保Jordan半乘积数值半径的满映射的刻画以及保单位保Jor-dan半乘积交叉范数的满映射的刻画,补充完善了三阶以上矩阵代数的相应结果．     

微结构X射线源中电子与阳极作用的蒙特卡罗模拟

根据电子多重散射理论,基于蒙特卡罗方法研究不同能量电子垂直入射不同材料的阳极靶后,电子在阳极靶内的沉积能量分布,及X射线发射位置的能量分布.结果表明：电子在靶内的轨迹扩展和入射电子能量、靶材料有关,99%电子能量沉积在近似圆柱形区域内.且电子在入射方向上的沉积能量分布不是直接递减,而是先递增到一定深度后再递减,符合电子背散射理论.说明X射线产生区域是在距表面一定深度区域内.另外,通过对比分析发现金刚石膜作为电子吸收光栅是不可行的,但作为热沉材料有很大的潜力.这些结论可为微结构X射线源研究及高亮度高相干X射线源设计提供参考.