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An algebraic invariant for Jordan automorphisms on B(H):The set of idempotents

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Science china mathematics 2005年第12期48卷 1585-1596页

作者： CUI Jianlian & HOU Jinchuan department of Mathematical Science, Tsinghua university, Beijing 100084, china department of Applied mathematics, taiyuan university of technology, taiyuan 030024, china department of mathematics, shanxi Teachers university, Linfen 041004, china department of Mathematical Science Tsinghua University Beijing 100084 China department of Applied mathematics Taiyuan University of Technology Taiyuan 030024 China department of mathematics Shanxi Teachers University Linfen 041004 China

Let H be an infinite dimensional complex Hilbert space. Denote by B(H) the algebra of all bounded linear operators on H, and by I(H) the set of all idempo-tents in B(H). Suppose that Φ is a surjective map from B(H) onto itself. If for every λ ∈ {-1,1,2,3,1/2,1/3} and A, B ∈ B(H), A - λB ∈ I(H) (?) Φ(A) - λΦ(B) ∈ I(H), then Φ is a Jordan ring automorphism, i.e. there exists a continuous invertible linear or conjugate linear operator T on H such that Φ(A) = TAT-1 for all A ∈ B(H), or Φ(A) = TA*T-1 for all A ∈ B(H); if, in addition, A-iB ∈ I(H) (?) Φ(A) -ιΦ(B) ∈ I(H), here ι is the imaginary unit, then Φ is either an automorphism or an anti-automorphism.

关键词： Hilbert space operators,Jordan automorphisms,idempotents.

recovery and chemical utilization of carbon dioxide from fossil－fuel burning industrial sources

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Journal of Environmental Sciences 1995年第2期7卷 129-137页

作者： Yin Xiaolong (department of Applied Chemistry,taiyuan university of technology, taiyuan 030024 , china) Dept of Applied Chem Taiyuan Univ of Tech Taiyuan China China

Ｒｅｃｏｖｅｒｙａｎｄｃｈｅｍｉｃａｌｕｔｉｌｉｚａｔｉｏｎｏｆｃａｒｂｏｎｄｉｏｘｉｄｅｆｒｏｍｆｏｓｓｉｌ－ｆｕｅｌｂｕｒｎｉｎｇｉｎｄｕｓｔｒｉａｌｓｏｕｒｃｅｓＹｉｎＸｉａｏｌｏｎｇ（Ｄｅｐａｒｔｍｅｎｔｏｆ... 详细信息

Ｒｅｃｏｖｅｒｙａｎｄｃｈｅｍｉｃａｌｕｔｉｌｉｚａｔｉｏｎｏｆｃａｒｂｏｎｄｉｏｘｉｄｅｆｒｏｍｆｏｓｓｉｌ－ｆｕｅｌｂｕｒｎｉｎｇｉｎｄｕｓｔｒｉａｌｓｏｕｒｃｅｓＹｉｎＸｉａｏｌｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＣｈｅｍｉｓｔｒｙ，...

关键词： carbon dioxide fossil fuel global climate change greenhouse gas.

AN IMprOVED M-C METHOD AND ITS AppLICATION TO STrUCTUrAL rELIABILITY

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Acta Mechanica Solida Sinica 1994年第3期7卷 256-264页

作者： Wang Deyu (Shanghai Jiaotong university,Shaighai,200030,p.r.china)Zhang Shanyuan Yang Guitong (taiyuan university of technology,taiyuan,030024,p.r.china) Shanghai Jiaotong university Shanghai 200030 China taiyuan university of technology Taiyuan 030024 China

An improved Monte-Carlo method for the failure calculation of structure is *** present method can determine whether some sample points are in the safe region without doing structural analysis,so the calculation work is greatly reduced compared with the ordinary M-C ***,the new M-C method is applied to reliability analysis of frame and the torsional buckling reliability analysis of cylindrical shells.

关键词： Monte-Carlo method reliability analysis torsional buckling cylindrical shell frame

A NUMErICAL METHOD OF MODELING ELASTIC WAVE prOpAGATION IN ANISOTrOpIC MEDIA

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Acta Mechanica Solida Sinica 1995年第4期8卷 327-336页

作者： Liang Fei Yang Hueyju~★ Yang Guitong(taiyuan university of technology,taiyuan 030024,p.r.china)(★Tsinghua university,Beijing 100084,p.r.china) taiyuan university of technology Taiyuan 030024 China Tsinghua university Beijing 100084 China

The velocity-stress finite-difference method is adopted to simulate the elastic wave propa- gation in azimuthal anisotropic *** difference grids are completely staggered in the numerical im- *** reduce the computational work,the absorbin8 boundary conditions for anisotropic media are introduced first and the corner points are specially *** show that more accurate results can be obtained from the modeling algorithm,which cost much less computational time than the conven- tional ***,the algorithm has broad application prospects in engineering.

关键词： azimuthal anisotropy elastic wave finite-difference staggered grids

Some Simple Estimates for the Singular Values of Matrices

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Acta Mathematicae Applicatae Sinica 2002年第1期18卷 117-122页

作者： Chuan-long WANG, Guo-jian ZHANGdepartment of mathematics, Normal College of shanxi university, taiyuan 030012, chinadepartment of Applied mathematics, taiyuan university of technology, taiyuan, 030024, china Institute of mathematics Normal College of Shanxi University Taiyuan China department of Applied mathematics Taiyuan University of Technology Taiyuan China

We first provide a simple estimate for || A-1||∞and||A-1||1 of a strictly diagonally dominant matrix A. On the Basis of the result, we obtain an estimate for the smallest singular value of A. Secondly, by scaling with a positive diagonal matrix D, we obtain some simple estimates for the smallest singular value of an H-matrix, which is not necessarily positive definite. Finally, we give some examples to show the effectiveness of the new bounds.

关键词： Singular value estimates H-matrix

Capturability of pseudo Differential Games of pursuit

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Systems Science and Systems Engineering 1993年第4期3卷 354-356页

作者： YAN Yangkui department of mathematics, shanxi university, taiyuan 030006, shanxi, p.r.china

This paper discusses the capturability with fixed time of a pseudo-linear differential game of pursuit. The pursuit set in which the pursuit will end once the initial state lies in this set is given by the method of integration of multi-valued function. The results obtained here solve an open problem of pontrjagin’s on the linear differential game of pursuit. Meanwhile, the requirement of the convexity of the control set and other related pontrjagin’s conditions are removed.

关键词： pursuit differential game pseudo-linear differential game.

ANALYSIS OF THE LArGE DEFLECTION DYNAMIC rESpONSE OF rIGID-pLASTIC CIrCULAr pLATE rESTING ON FLUID

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Acta Mechanica Solida Sinica 1994年第4期7卷 334-346页

作者： Zhang Shanyuan Wang Tiefeng (taiyuan university of technology,taiyuan 030024 p.r.china) taiyuan university of technology Taiyuan 030024 China

A study is presented for the large deflection dynamic response of rigid- plastic circular plate resting on potential fluid under a rectangular pressure pulse load. By virtue of Hankel integral transform technique,this interaction problem is reduced to a problem of dynamic plastic response of the plate in *** closed-form solutions are derived for both middle and high pressure loads by solving the equations of motion with the large deflection in the range where both bending moments and membrane forces are *** numerical results are given.

关键词： rigid-plastic circular plate large deflection dynamic response potential fluid Hankel integral transform technique

On Doubly Degenerate Quasilinear parabolic Equations of Higher Order

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Acta Mathematica Sinica,English Series 2005年第1期21卷 197-208页

作者： Zhen Hai LIU department of mathematics,Changsha university of Science and technology Changsha 410077,p.r.china department of mathematics Changsha University of Science and Technology Changsha 410077 P. R. China

We deal with the existence of periodic solutions for doubly degenerate quasilinear parabolic equations of higher order,which can degenerate,on a part of the boundary,on a segment in the interior of the domain and in t... 详细信息

关键词： Double degeneration Quasilinear parabolic equations periodic solutions

Solvability of Elliptic Boundary Value problems without Standard Landesman-Lazer Condition

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Acta Mathematica Sinica,English Series 2000年第2期16卷 349-359页

作者： Zhiqing Han department of Applied mathematics.Dalian university of technology,Dalian 116024,p.r.china department of Applied mathematics Dalian University of Technology Dalian 116024 P. R. China

In this paper we prove a very general result concerning solvability of the resonant problem: Δu+λku+g（x, u）=h（x）;u=0, xΩ, which immediately gives three generalized Landesman-Lazer conditions. The most interesting application of the general result is concerned with the problem when λk=λ1. in which case we prove solvability results for it under conditions which are not the standard Landesman-Lazer condition or only partly enjoy it. Furthermore, we propose a new sign condition and give a comprehensive extension of a main result of Figueiredo and Ni.

关键词： Elliptic boundary value problems Leray-Schauder degree continuation method Landesman-Lazer condition Semi-Landesman-Lazer conditions Sign condition