A STABILITY THEOREM FOR A CERTAIN FOURH-ORDER VECTOR DIFFERENTIAL FQUATION

ＡＳＴＡＢＩＬＩＴＹＴＨＥＯＲＥＭＦＯＲＡＣＥＲＴＡＩＮＦＯＵＲＨ－ＯＲＤＥＲＶＥＣＴＯＲＤＩＦＦＥＲＥＮＴＩＡＬＦＱＵＡＴＩＯＮ￥Ａ．Ｍ．Ａ．Ａｂｏｕ－Ｅｌ－Ｅｌａ＆Ａ．Ｉ．Ｓａｄｅｋ（ＦａｃｕｌｔｙｏｆＳｃｉｅｎｃｅ，ＡｓｓｉｕｔＵｎｉｖｅｒｓｉ...     

ON THE IDENTIFICATION OF COEFFICIENTS OF SEMILINEAR PARABOLIC EQUATIONS

ＯＮＴＨＥＩＤＥＮＴＩＦＩＣＡＴＩＯＮＯＦＣＯＥＦＦＩＣＩＥＮＴＳＯＦＳＥＭＩＬＩＮＥＡＲＰＡＲＡＢＯＬＩＣＥＱＵＡＴＩＯＮＳＬＩＵＺＨＥＮＨＡＩ（刘振海）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｈａｎｇｓｈａＵｎｉｖｅｒｓｔｔｙｏｆＥｌ...     

A Degenerate Stefan Problem with Two Free Boundaries

ＡＤｅｇｅｎｅｒａｔｅＳｔｅｆａｎＰｒｏｂｌｅｍｗｉｔｈＴｗｏＦｒｅｅＢｏｕｎｄａｒｉｅｓ￥（李辉来）ＬｉＨｕｉｌａｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈｕｎ，１３００２３）Ａｂｓｔｒａｃｔ...     

CLASSIFICATION OF CUBIC KOLMOGOROV TYPE SYSTEM AND ITS APPLICATION

ＹＡＮＧＸＩＮ＇ＡＮ（杨信安）；ＺＨＡＮＧＪＩＡＮＦＥＮＧ（张剑峰）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＦｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｆｕｚｈｏｕ３５０００２，Ｃｈｉｎａ）ＴｈｉｓｒｅｓｅａｒｃｈｉｓｓｕｐｐｏｒｔｅｄｂｙＦｕｊｉａ...     

Representation Formulas for Analytic Function Non－exponential in a Half Plane

ＲｅｐｒｅｓｅｎｔａｔｉｏｎＦｏｒｍｕｌａｓｆｏｒＡｎａｌｙｔｉｃＦｕｎｃｔｉｏｎＮｏｎ－ｅｘｐｏｎｅｎｔｉａｌｉｎａＨａｌｆＰｌａｎｅＤｅｎｇＧｕａｎｔｉｅ（邓冠铁）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｕａｚｈｏｎｇＵｎｉｖｅｒｓｉ...     

BFEEDBACK CONTROL OF SINGLE-LINK FLEXIBLE ARMS

ＦＥＥＤＢＡＣＫＣＯＮＴＲＯＬＯＦＳＩＮＧＬＥ－ＬＩＮＫＦＬＥＸＩＢＬＥＡＲＭＳＦＥＮＧＤＥＸＩＮＧ（冯德兴）；ＺＨＡＮＧＷＥＩＴＡＯ（张维韬）（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅ...     

DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES

ＤＩＦＦＥＲＥＮＴＩＡＢＩＬＩＴＹＯＦＣＯＮＶＥＸＦＵＮＣＴＩＯＮＳＡＮＤＡＳＰＬＵＮＤＳＰＡＣＥＳＣｈｅｎｇＬｉｚｉｎ（程立新）ＺｈａｎｇＦｅｎｇ（张风）（Ｍａｔｈ．Ｓｅｃｔｉｏｎ，Ｄｅｐｔ．ｏｆＰｕｂｌｉｃＣｏｕｒｓｅｓ，ＪｉａｎｇｈａｎｒＰｅｔ...     

The Homeomorphism Classification of G. M.(2k l-venices)

ＴｈｅＨｏｍｅｏｍｏｒｐｈｉｓｍＣｌａｓｓｉｆｉｃａｔｉｏｎｏｆＧ．Ｍ．（２ｋ＋ｌ－ｖｅｎｉｃｅｓ）ＹｕａｎＦｕｙｏｎｇ（袁夫永）（ＵｎｉｖｅｒｓｉｔｙｏｆｓｔａｆｆａｎｄＷｏｒｋｅｒｓｏｆＡｇｒｉｃｕｌｔｕｒｅＲｅｃｌａｍａｔｉｏｎ）Ａｂｓｔｒａ...     

Sets Under the Figure

ＳｅｔｓＵｎｄｅｒｔｈｅＦｉｇｕｒｅ￥ＺｈａｏＷａｎｚｈｏｎｇ（赵万忠）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓｄｙｎａｍｉｃｓ，ＺｈｅｎｇｚｈｏｕＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ）Ａｂｓｔｒａｃｔ：Ｆｉｒｓｔ，ｗｅｇｉｖｅｔｈｅｎ...     

PARTIAL FERRERS MATRICES

ＰＡＲＴＩＡＬＦＥＲＲＥＲＳＭＡＴＲＩＣＥＳ￥ＲＩＣＨＡＲＤＡ；ＢＲＵＡＬＤＩ＆ＬＩＱＩＡＯ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＵｎｉｖｅｒｓｉｔｙｏｆＷｉｓｃｏｎｓｉｎ，Ｍａｄｉｓｏｎ，Ｗｉｓｃｏｎｓｉｎ５３７０６，Ｕ．Ｓ．Ａ．）（Ｄ...     

谱表示

<正> Stone M.对Hilbert空间中一个具有简单谱的自伴算子建立了谱表示定理,即有实轴上的有限Borel测度μ,使得同构于L~2(μ),同时变A为乘以自变量λ的算子.Jauch等([2])讨论了一列交换的自伴算子完全集谱表示定理,但要求一个关于测度绝对连续性的假定.此外,依据约化理论([3])可知,如果A是可分Hilbert空间的自伴     

Ideals in the Roe Algebras of Discrete Metric Spaces with Coefficients in B(H)

The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced.It is shown that,if X has Yu's property A,the ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized by the ideal families of weighted subspaces of X,where B(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H.     

Operator Ideals,Orthonormal Systems and Lacunary Sets

Given an orthonormal system B in some L²(u) we consider the operator ideals II_B and T_B of B-summing and B-type operators and some related ideals. We characterize by certain weak compactness properties when II_B is equal to the operator ideal II₂ of 2-summing operators. In lose that B consists of characters of a compact abelian group we characterize when II_B coincides with the operator ideal II_γ of Gauss-summing operators and when T_B coincides with the operator ideal II_p of type-2 operators. Moreover, we give a necessary and sufficient condition for Fig to contain the operator ideal II_p of p-summing operators (2 < p < ∞) and for T_B to contain the operator ideal Γ_p of p - factorable operators.     

Multiplicative Decompositions of Holomorphic Fredholm Functions and ψ*-Algebras

In this article we construct multiplicative decompositions of holomorphic Fredholm operator valued functions on Stein manifolds with values in various algebras of differential and pseudo differential operators which are submultiplicative ψ* - algebras, a concept introduced by the first author. For Fredholm functions T(z) satisfying an obvious topological condition we. Prove (0.1) T(z) = A(z)(I + S(z)), where A(z) is holomorphic and invertible and S(z) is holomorphic with values in an “arbitrarily small” operator ideal. This is a stronger condition on S(z) than in the authors' additive decomposition theorem for meromorphic inverses of holomorphic Fredholm functions [12], where the smallness of S(z) depends on the number of complex variables. The Multiplicative Decomposition theorem (0.1) sharpens the authors' Regularization theorem [11]; in case of the Band algebra L(X) of all bounded linear operators on a Band space, (0.1) has been proved by J. Letterer [20] for one complex variable and by M. 0. Zaidenberg, S. G. Krein, P. A. Kuchment and A. A. Pankov [26] for the Banach ideal of compact operators.     

非线性 Lipschitz 连续算子的定量性质(III)------glb-Lipschitz数

本文引进非线性Lipschitz算子T的glb-Lipschitz数l(T),并证明l(T)定量刻画非线性Lipschitz连续算子全体所构成的赋半范算子空间中可逆算子T保持可逆的最大扰动半径,因而具有特别重要意义.所获结果被应用来建立``非线性扰动引理'、非线性算子条件数、推广线性算子逼近理论和建立与矩阵理论中Gerschgorin圆盘定理对应的非线性Lipschitz连续算子谱集的包含域.     

C~m空间中非线性Lipschitz连续算子的定量性质

在有限维复Ｂａｎａｃｈ空间Ｃｍ中,全体Ｌｉｐｓｃｈｉｔｚ连续算子构成一赋半范的非线性算子空间Ｌ（Ｃｍ）．本文研究Ｌ（Ｃｍ）中非线性算子的定量性质,包括：Ｌ（Ｃｍ）中可逆算子到不可逆算子集合的逼近距离、Ｌ（Ｃｍ）中算子乘幂压缩的逆问题以及Ｌ（Ｃｍ）中算子的数值值域与谱集的联系,文中所得结果推广了线性算子理论中许多著名结论．     

关于Banach空间的遗传不能分解和商遗传不能合成性质

该文说明遗传不能分解空间上的黎斯算子类构成了最大、非平凡的算子理想，简化了Gowers和Maurey关于这类空间上算子构成的推证．应用对偶原理，引入商遗传不能合成的概念，讨论商遗传不能合成的Banach空间上的算子构成，得到了相应的一些结果．     

检测模糊控制器是否有隐匿缺陷的一种方法

目的:检测模糊控制系统中的模糊控制器是否有隐匿的缺陷。方法:通过分析Zadeh算子与Einstain算子及2种广义算子之间的内在联系,给出了Zadeh算子与Einstain算子及2种广义算子之间的隶属关系,分别用各类算子检测模糊控制系统中的模糊控制器。结果:在检测模糊控制系统中的模糊控制器是否有隐匿的缺陷时,广义算子(如Einstain算子)是一种非常有效的工具。结论:广义算子(如Einstain算子)能检测出模糊控制系统中的模糊控制器是否有隐匿缺陷。     

L-模糊偏序集上的核算子与核系统

定义L-模糊偏序集上的L-核系统,给出了任一L-模糊偏序集上的L-核算子与L-核系统之间的一一对应关系,从而推广了有界完备L-模糊偏序集的情形,并使得模糊的情况与分明的情况更加协调。另外,也给出了L-闭包算子与L-闭包系统的相关结论。     

Elementary Operators on Standard Operator Algebras

We present a new simple proof of the structural result for elementary operators on standard operator algebras. Using the idea of this short proof we can characterize surjective maps between standard operator algebras having a certain multiplicativity-like property appearing in the abstract definition of elementary operators of length one. In particular, we show that such maps are automatically additive.