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T-UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE

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Acta Mathematica Scientia 1985年第1期5卷 85-91页

作者：薛行鸿 department of mathematics East China Normal University Shanghai China

§1. Introduction Let (（Ω, （?）, p） be a probability space, E be a separable Banach space with norm ||·||, and let （Xn, （?）n）n≥1 be an E-valued adapted sequence, i.e., （（?）n）n≥1 is a family of increasin... 详细信息

关键词： In T-UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE 一刀

JACOBI SPECTRAL APPROXIMATIONS TO DIFFERENTIALEQUATIONS ON THE HALF LINE

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Journal of Computational mathematics 2000年第1期18卷 95-112页

作者： Ben-yu Guo(department of mathematics, shanghai normal university, shanghai 200234, china)(COM2MAC, Pohang university of Science and Technology, Pohang, Korea) 上海师范大学上海 200234

Presents a study which investigated some Jacobi approximations which are used for numerical solutions of differential equations on the half line. Application of the approximations to problems on unbounded domains; Alg... 详细信息

关键词： Jacobi spectral approximations differential equations on the half line stability and convergence

ON THE DOMAIN DECOMPOSITION METHOD FOR MORLEYELEMENT-FROM WEAK OVERLAP TO NONOVERLAP

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Journal of Computational mathematics 1999年第6期17卷 615-628页

作者： Jian-guo Huang(department of Applied mathematics, shanghai Jiao Tong university, shanghai 200240,china) shanghai Jiao Tong Univ Dept Math Appl Shanghai 200240 Peoples R China

In this paper, following our original ideas[9], we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

关键词： Morley element domain decomposition weak overlap

THE SCHWARZ CHAOTIC RELAXATION METHOD WITH INEXACT SOLVERS ON THE SUBDOMAINS

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Journal of Computational mathematics 1999年第2期17卷 125-132页

作者： Jian-guo Huang(department of Applied mathematics, shanghai Jiao Tong university,shanghai 200240, china) 上海交通大学应用数学系上海

In this paper, a S-CR method with inexact solvers on the subdomains is presented, and then its convergence property is proved under very general conditions. This result is important because it guarantees the effective... 详细信息

关键词： S-CR method chaotic algorithm inexact solvers

Clean synthesis of biodiesel over solid acid catalysts of sulfonated mesopolymers

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Science china Chemistry 2010年第7期53卷 1481-1486页

作者： FANG Lin,XING Rong,WU HaiHong,LI XiaoHong,LIU YueMing & WU Peng shanghai Key Laboratory of Green Chemistry and Chemical Processes department of Chemistry,east china normal university,shanghai 200062,china 1. shanghai Key Laboratory of Green Chemistry and Chemical Processes East China Normal University Shanghai 200062 China2. Department of Chemistry East China Normal University Shanghai 200062 China

FDU-15-SO3H,a solid acid material prepared from the sulfonation of FDU-15 mesoporous polymer,has been demonstrated to serve as an efficient catalyst in the esterification of palmitic acid with methanol as well as in the transesterification of fatty acid-edible oil ***-15-SO3H achieved an acid conversion of 99.0% when the esterification was carried out at 343 K with a methanol/palmitic acid molar ratio of 6:1 and 5 wt% catalyst *** was capable of giving 99.0% yield of fatty acid methyl esters (FAME) when the transesterification of soybean oil was performed at 413 K and the methanol/oil weight ratio of 1:***-15-SO3H was further applied to the transesterification/esterification of the oil mixtures with a varying ratio of soybean oil to palmitic acid,which simulated the feedstock with a high content of free fatty *** yield of FAME reached 95% for the oil mixtures containing 30 wt% palmitic *** indicated the sulfonated mesopolymer was a potential catalyst for clean synthesis of fuel alternative of biodiesel from the waste oil without further purification.

关键词： mesoporous polymer sulfonation esterification transesterification biodiesel

Strong uniqueness of best approximations in spaces of bounded linear operators

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Science china mathematics 2004年第3期47卷 339-351页

作者： LI Chong HE Jinsu department of mathematics, Zhejiang university Hangzhou 310027, china department of mathematics, Zhejiang normal university Jinhua 321004, china 1. department of mathematics Zhejiang University 310027 Hangzhou China 2. department of mathematics Zhejiang Normal University 321004 Jinhua China

The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator *** results on the strong uniqueness of the best approximation operatorfrom RS-sets are proved and the uniqueness element of a sun in the compactoperator space from c0 to c0 is characterized by the strict Kolmogorov's *** recent results due to Lewicki and others are extended and improved.

关键词： best approximation operator, RS-set, sun, strong uniqueness, uniqueness element.

INVARIANT SUBSPACES AND EIGEVALUES OF ELEMENTS IN C-ALGEBRAS

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Chinese Annals of mathematics,Series B 1992年第4期13卷 422-429页

作者：林华新 department of mathematics East China Normal University Shanghai 200062 China.

Let A be a C~*-algebra and x an element in A. the following invariant subspace problem is considered: Does there exist an irreducible representation π of A such that π(x) has a non-trivial invarint subspace? And a positive solution of the problem for finite separable matroid C~*-algebras is given. Also the eigenvalues Of elements in C~*-algebras is considered. Some versions of Fredholm Alternatives are given.

关键词： algebra trivial irreducible separable invariant proof subspace 二盖 eigenvalue canonical

Completely regular paracompact reflection of locales

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Science china mathematics 2006年第6期49卷 820-826页

作者： HE Wei & LUO Maokang department of mathematics, Nanjing normal university, Nanjing 210097, china department of mathematics, Sichuan university, Chengdu 610064, china department of mathematics Nanjing Normal University Nanjing 210097 China department of mathematics Sichuan University Chengdu 610064 China

We give an explicit construction of the completely regular paracompact reflection pL of a completely regular locale L described as a sublocale of the Stone-tech compactification βL of L.

关键词： completely regular paracompact locale, nucleus.

Highly Efficient Oxidative Coupling of Methane over LiCl-B_2O_3/MnO_2 and Li_2SO_4-Mn_xO_y/TiO_2 Catalysts

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Journal of Natural Gas Chemistry 2003年第4期12卷 247-253页

作者： Yingying Gu, Chengyong Dai, Qinghai Cai, Yongkui Shandepartment of Chemistry, east china normal university, shanghai 200062, china department of Chemistry East China Normal University Shanghai 200062 China

Because of the ever-increasing consumption of crude oil, the role played bythe natural gas as a raw material has become more and more important in chemical industry and thepotential of methane used as a source for the production of ethylene has attracted much *** this paper, the LiCl-B_2O_3/MnO_2 and Li_2SO_4-Mn_xO_y/TiO_2 catalysts for Oxidative Coupling ofMethane (OCM) have been studied, and the results show that the catalysts exhibit high activity andselectivity. Furthermore, The influence of the components in the catalyst and the reactionconditions on OCM performance has been studied and a possible active new component, cubicLi_4B_7O_(12)Cl, has been found.

关键词： methane ethane ethylene oxidative coupling methane lithium chloride manganese dioxide