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1.
A bounded linear operator T acting on a Hilbert space is called Coburn operator if ker(T ? λ) = {0} or ker(T ? λ)*= {0} for each λ ∈ C. In this paper, the authors define other Coburn type properties for Hilbert space operators and investigate the compact perturbations of operators with Coburn type properties. They characterize those operators for which has arbitrarily small compact perturbation to have some fixed Coburn property.Moreover, they study the stability of these properties under small compact perturbations.  相似文献   
2.
International Journal of Theoretical Physics - The Majorana representation, which provides an intuitive way to represent the quantum state by stars on the Bloch sphere, has drawn considerable...  相似文献   
3.
Gao  Zhigen  Guo  Jianhua  Ma  Yanyuan 《中国科学 数学(英文版)》2021,64(8):1905-1916
Science China Mathematics - Linear factor models are familiar tools used in many fields. Several pioneering literatures established foundational theoretical results of the quasi-maximum likelihood...  相似文献   
4.
利用水热法和直接沉淀法, 设计合成了5例由过渡金属(TM)-联咪唑配阳离子与Dawson型钨磷酸阴离子构成的多金属氧酸盐(POM)基有机-无机杂化化合物[Ni(H2biim)3]4[Ni(H2biim)2(P2W18O62)2]·2H2O(1), [CoIII(H2biim)3]2[P2W18O62]·8H2O(2), [Cu(H2biim)2]3[P2W18O62]·4H2O(3), [CoII(H2biim)3]2H2[P2W18O62]·9H2O(4)和 [Ni(H2biim)3]3[P2W18O62]·2H2O(5); 并利用X射线单晶衍射分析(SC-XRD)、 红外光谱(IR)和热重-差热分析 (TG-DTA)等对其进行了表征. 化合物1~5作为载体用于固定辣根过氧化物酶(HRP)时, 显示出了较高的酶固定化能力. 另外, 利用圆二色光谱(CD)和激光扫描共聚焦显微镜(LSCM)等方法评价了固定化酶HRP/1~HRP/5的重复使用性、 储存稳定性和检测过氧化氢(H2O2)的性能. 由于该类POMs与HRP间存在强的相互作用, 利用简单的物理吸附法即可实现POMs对HRP的固载. POMs对酶的固定不但提高了HRP对使用及储存环境的耐受性, 同时也拓展了POMs在酶固定化领域的应用.  相似文献   
5.
随着全球环境问题日益严重以及能源需求的不断增长,人们对高效环境修复与能源转换技术的需求日益增强.以半导体材料为光催化剂,可将可再生的太阳能转化为化学能,有望成为解决人类面临的能源和环境问题的有效途径.其中,开发高效稳定的光催化剂是该技术得以实际应用的关键.近几十年,研究人员开发出多种半导体材料并应用于光催化研究.其中,具有可见光响应的有机非金属光催化剂石墨相氮化碳(g-C3N4)因其稳定的分子结构,较小的禁带宽度(~2.7 e V)以及合适的能带结构而备受关注.然而,与大多数半导体光催化剂相似,由于传统g-C3N4上的光生电子和空穴极易复合,表面催化活性位点较少,可见光响应范围较窄,使得其催化效率不高.基于g-C3N4独特的有机分子结构,通过引入功能化的特定基团以优化g-C3N4的电子能带结构,促进载流子传输,拓展可见光响应范围,是提高其光催化效率的有效途径.已有研究表明,在各种功能化官能团中,具有强电负性的含氧基团对g-C3N4的Melon单元优化是非常有效的.因此,本文通过g-C3N4与氨基磺酸间的简单固相热反应成功合成了磺酸基功能化的g-C3N4纳米片(SACN),并实现了同步增强的相互作用.根据固体强酸特性,氨基磺酸可以在热处理的辅助下对g-C3N4进行酸刻蚀,从而增加其比表面积以及表面催化活性位点.更重要的是,理论计算与实验表征结果表明,磺酸基团的吸电子诱导效应所产生的电荷驱动力可极大改善g-C3N4的电荷转移动力学,有效抑制了它们的再结合.此外,吸电子诱导效应还可促进g-C3N4的局域电子再分布,进而降低g-C3N4的导带电位,增强光诱导电子的还原能力.光催化性能测试结果表明,SACN-400样品(前驱体中氨基磺酸加入量为400 mg)在光催化分解水制备氢气以及光降解传统污染物领域展现出较好的性能,其在入射光波长为420±15 nm时的产氢表观量子效率为11.03%.综上,本文为设计合成具有较高产氢性能以及污染物降解效率的石墨相氮化碳基光催化剂提供了一种简便有效的策略.  相似文献   
6.
The direct gem-difluoroalkenylation of X−H bonds represents the most straightforward approach to access heteroatomic gem-difluoroalkenes that, as the isostere of the carbonyl group, have great potency in drug discovery. However, the construction of tetrasubstituted heteroatomic gem-difluoroalkenes by this strategy is still an unsolved problem. Here, we report the first direct X−H bond gem-difluoroalkenylation of amines and alcohols with trifluoromethyl ketone N-triftosylhydrazones under silver (for (hetero)aryl hydrazones) or rhodium (for alkyl hydrazones), thereby providing a most powerful method for the synthesis of tetrasubstituted heteroatomic gem-difluoroalkenes. This method features a broad substrate scope, high product yield, excellent functional group tolerance, and operational simplicity (open air conditions). Moreover, the site-specific replacement of the carbonyl group with a gem-difluorovinyl ether bioisostere in drug Trimebutine and the post-modification of bioactive molecules demonstrates potential use in medicinal research. Finally, the reaction mechanism was investigated by combining experiments and DFT calculations, and disclosed that the key step of HF elimination occurred via five-membered ring transition state, and the difference in the electrophilicity of Ag- and Rh-carbenes as well as the multiple intermolecular interactions rendered the effectiveness of Rh catalyst selectively for alkyl hydrazones.  相似文献   
7.
Phosphors with outstanding luminescence thermal stability are desirable for high-power phosphor-converted light-emitting diode (pc-LED) lightings. High structural rigidity and large bandgap of phosphor hosts are helpful to suppress nonradiative relaxation of optical centers and realize excellent thermal stability. Unfortunately, few host materials simultaneously possess aforementioned structural features. Herein, we confirm that Sr3(PO4)2 (SPO) phosphate possesses high structural rigidity (Debye temperature, ΘD = 559 K) and large bandgap (Eg = 8.313 eV) by density functional theory calculations. As expected, Eu2+-doped SPO purple-blue phosphors show extraordinary thermal stability. At 150/300 °C, SPO:5%Eu2+ presents emission loss of only 4%/8% and a predicated ultrahigh thermal quenching temperature of 973 °C. The most strikingly discoveries here are that thermal-induced emission compensation appears within two distinct Eu2+ sites of SPO host. The outstanding thermal stability, on one hand, is attributed to rigid structure and large bandgap of host that inhibits nonradiative relaxation of Eu2+ and on the other hand, the emission self-compensation of Eu2+. Benefiting from synergistic effect of emission compensation and nonradiative transition restriction of Eu2+, as-prepared SPO:5%Eu2+ purple-blue phosphor not only presents superior thermal stability but also high internal quantum efficiency of 95.1% and excellent hydrolysis resistant. Some advanced applications are explored including white LED lighting and wide-color-gamut display. Our work provides in-deep insights into structure-property relationships of thermally stable phosphors.  相似文献   
8.
Lithium-ion batteries (LIBs)have attracted wide attention because of their broad prospects in electric vehicles. However,the safety problems and low multiplier performance of the commercial polyolefin separator limit their further development,due to the poor dimensional thermal stability and low electrolyte absorption rate. Poly(ether ether ketone)(PEEK)and carbon nanotube(CNT)are compounded to coat on polypropylene (PP) to prepare Janus composite separator (PP@C) through the phase inversion method. PP@C composite separator does not deform at 180 ℃ for 0. 5 h(only slight deformation),illustrating excellent thermal stability. The electrolyte absorption rate of PP@C2 is 193. 8%. The electrolyte uptake rate of the PP@C2 composite membrane was 193. 8%,which was 64. 5% higher than the PP membrane,showing a superduper electrolyte permeability. As a result,the specific discharge capacity of LIBs assembled with PP@C2 composite separator is 157. 6 mA·h/g at 0. 2 C and 129. 8 mA·h/g at 2 C,showing good rate performance with the capacity recovery rate of more than 99%. This might be attributed to the ultra-high thermal stability of PEEK,the good affinity of the electrolyte,the high conductivity of CNT,as well as the uniform dispersion of Li+ ,so that the separator can have excellent electrochemical performance while improving safety. © 2022, Science Press (China). All rights reserved.  相似文献   
9.
绪言课的教学效果对于学生后续学习起着举足轻重的作用,基于对高一化学绪言课教学意蕴的分析,选取了历史与现代、生活与科研、国内与国外等多种情境素材,并设计成对比的教学情境,竭力将学生带进真实的化学科学,引领高中化学学习的方向,打开学生的国际视野,培养学生的家国情怀。并结合问卷调查对本节课教学效果进行了反思。  相似文献   
10.
在已有的化学平衡常数教学的基础上,提出认知化学平衡常数的新角度--化学平衡常数的多种表达式。依据教材中用浓度表示的化学平衡常数并结合理想气体状态方程,推导用物质的量分数及分压表示的化学平衡常数表达式,分析3者之间的区别和联系,进而应用化学平衡常数的多种表达形式解决2019年全国(Ⅰ卷)化学第28题中的相关问题,使学生深入理解解答这道高考试题的关键所在。同时,拓展了学生对平衡常数的认识,提升了学生灵活应用平衡常数解决问题的能力。  相似文献   
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