Property (gb) and perturbations

An operator T acting on a Banach space X possesses property (gb) if , where σa(T) is the approximate point spectrum of T, is the essential semi-B-Fredholm spectrum of T and π(T) is the set of all poles of the resolvent of T. In this paper we study property (gb) in connection with Weyl type theorems, which is analogous to generalized Browder?s theorem. Several sufficient and necessary conditions for which property (gb) holds are given. We also study the stability of property (gb) for a polaroid operator T acting on a Banach space, under perturbations by finite rank operators, by nilpotent operators and, more generally, by algebraic and Riesz operators commuting with T.     

一种含三氟甲基和呫吨结构聚酰胺的合成与性能

在浓硫酸和3-巯基丙酸催化下,3′-三氟甲基苯基-2,2,2-三氟苯乙酮(1)和甲苯于40～50℃下缩合反应8 h,制得中间体-1,1-二(4-甲基苯基)-1-(3′-三氟甲基苯基)-2,2,2-三氟甲基乙烷(2),继而在光照和N-溴代丁二酰亚胺促进下,将中间体氧化得到二羧酸-1,1-二(4-羧基苯基)-1-(3′-三氟甲基苯基)-2,2,2-三氟甲基乙烷(3),二步反应总收率为77.4%.采用Yamazaki体系,3和9,9-二[(4-氨基苯氧基)苯基]呫吨进行溶液亲核缩聚反应,制得了一种高分子量的(数均分子量为43000,分子量分布为1.8)新型含三氟甲基和呫吨结构的聚酰胺.该聚酰胺为非晶态结构并具有良好的透光率(λcutoff=330 nm),其玻璃化转变温度(Tg)为242℃,在氮气气氛中5%的热失重温度(Td5)为465℃,800℃时的残炭率为50%.聚合物易溶于N,N-二甲基乙酰胺(DMAc)、N-甲基吡咯烷酮(NMP)、间甲酚、吡啶(Py)和四氢呋喃(THF)等有机溶剂中,并可浇注得到韧性好和透明的薄膜,其拉伸强度为85 MPa,拉伸模量为2.0 GPa,断裂伸长率为10%.同时,该聚合物的体积电阻、表面电阻和介电常数分别为2.85×1015Ωcm,4.23×1014Ω和3.55(100 Hz),呈现了良好的电绝缘性能.     

Piezospectroscopic study (78°K) of radiation- produced absorption bands in Si†

Abstract

A detailed study has been made on two sharp sub-bands, 3.45 μ (2900 cm^?1) and 3.61 μ (2765 cm^?1) of the 3.3 μ broad defect absorption band in irradiated Si. Our results indicate that the 3.45 μ and 3.61 μ bands are observed in all types of Si (n-, p-type, and intrinsic) subjected to fast neutron reactor irradiation. Spectra were measured at 78 °K under the effect of a variable uniaxial compressive stress with polarized light. A relatively large dichroism is observed for all three stress directions ?100?, ?110?, and ?111?. We also confirm that both sharp bands exhibit splitting and energy shifts under the action of stress. The model of the divacancy defect given by Watkins and Corbett⁽⁵⁾ has been utilized to explain the data. The dichroism can be accounted for by the effects of Jahn-Teller alignment which arises from the strong bonding of nearest neighbor atoms of the divacancy. The splittings of the bands are small indicating that the Jahn-Teller distortion is little altered in the ground and excited states. The splittings appear to be most sensitive to stress along the vacancy-vacancy axis and a tentative model for the transitions is given.     

On the fluidization of Petri nets and marking homothecy

The analysis of Discrete Event Dynamic Systems suffers from the well known state explosion problem. A classical technique to overcome it is to relax the behavior by partially removing the integrality constraints and thus to deal with hybrid or continuous systems. In the Petri nets framework, continuous net systems (technically hybrid systems) are the result of removing the integrality constraint in the firing of transitions. This relaxation may highly reduce the complexity of analysis techniques but may not preserve important properties of the original system. This paper deals with the basic operation of fluidization. More precisely, it aims at establishing conditions that a discrete system must satisfy so that a given property is preserved by the continuous relaxation. These conditions will be mainly based on the marking homothetic behavior of the system. The focus will be on logical properties as boundedness, B-fairness, deadlock-freeness, liveness and reversibility. Furthermore, testing homothetic monotonicity of some properties in the discrete systems is also studied, as well as techniques to improve the quality of the fluid relaxation by removing spurious solutions.     

聚间亚苯亚乙烯的性能研究

自1990年Burroughes等首次报道聚对亚苯亚乙烯的电致发光以来,由于电致发光高分子材料在平面显示(特别是大面积显示)方面具有其他显示材料难以比拟的优势,因而近年来受到人们的广泛关注,在合成方法、加工性能、发光颜色的调控以及器件性能等多方面取得显著进展,不     

多胺型螯合纤维的结构表征和性能

以聚丙烯腈纤维为原料,采用化学改性法,制备了多胺型螯合纤维.运用红外光谱分析,表征其化学结构、活性功能基,由IR图谱可知,—CN的特征峰几乎完全消失、1644 cm-1处的—N—C N特征峰的出现,以及1600 cm-1附近的—NH2弯曲振动峰、1580 cm-1附近的—NH弯曲振动峰证实了N,N配位的功能基团——脒基及胺基的存在;采用示差扫描量热仪(DSC)分析改性前后纤维的热稳定性及其变化原因,因改性后纤维的结构改变较大,其热稳定性也相对降低;以扫描电镜仪(SEM)测试分析纤维制备过程中的微观形貌变化与其性能之间的关系;通过机械强度及直径测量,研究了改性前后纤维的机械性能变化,并对影响制备较高强度功能纤维的因素进行了分析;结合滴定曲线、交换容量,测定该纤维的化学稳定性及吸附性能.结果表明,该功能纤维表面及截面内均有较多的沟槽和微孔结构,具有较好的机械性能和化学稳定性,该纤维使用的最佳pH值范围是2.0~8.0,交换容量平均值为10 mmol.g-1.     

The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A

The author constructs a sequence of cubes in the infinitely dimensional hyperbolic space H∞ which is equi-coarsely equivalent to Z2n. As a corollary, it is proved that the infinitely dimensional hyperbolic space H∞ does not have property A.     

A New Characterization of the Analytic Radon-Nikodym Property for Bounded S

ＡＮｅｗＣｈａｒａｃｔｅｒｉｚａｔｉｏｎｏｆｔｈｅＡｎａｌｙｔｉｃＲａｄｏｎ－ＮｉｋｏｄｙｍＰｒｏｐｅｒｔｙｆｏｒＢｏｕｎｄｅｄＳｕｂｓｅｔｓＢｕＳｈａｎｇｑｕａｎ（步尚全）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｔｓｉｎｇｈ...