Spectral Characterizations of Cliford Minimal Hypersurfaces

ＳｐｅｃｔｒａｌＣｈａｒａｃｔｅｒｉｚａｔｉｏｎｓｏｆＣｌｉｆｏｒｄＭｉｎｉｍａｌＨｙｐｅｒｓｕｒｆａｃｅｓＺｈｏｕＺｈｅｎｒｏｎｇ（周振荣）（ＷｕｈａｎＦｏｏｄＩｎｄｕｓｔｒｙＣｏｌｅｇｅ，Ｗｕｈａｎ，４３００２２）ＡｂｓｔｒａｃｔＩｎｔｈｉｓｐａ...     

Some Properties of Quasi-keep-range Operators and Their Applications

ＳｏｍｅＰｒｏｐｅｒｔｉｅｓｏｆＱｕａｓｉ┐ｋｅｅｐ┐ｒａｎｇｅＯｐｅｒａｔｏｒｓａｎｄＴｈｅｉｒＡｐｐｌｉｃａｔｉｏｎｓＬａｉＣｈｕｎｈｕｉ（赖春晖）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈａｎｇｚｈｏｕＴｅａｃｈｅｒｓＣｏｌｅｇｅ，...     

Stably embedded minimal hypersurfaces

We use Schoen’s curvature estimates to prove that the subfocal tubular neighborhood of a nonplanar minimal hypersurface with bounded second fundamental form, stably embedded in whose radius decays sufficiently slowly cannot be embedded. In particular such hypersurfaces admit no embedded tubular neighborhoods of constant radius, whatever small the radius. However, assuming a further hypothesis on the embedding, we prove that such hypersurfaces admit an embedded tube whose radius decays sufficiently fast.      

On Some Linear Maps from an Algebra into Its Bimodules

ＯｎＳｏｍｅＬｉｎｅａｒＭａｐｓｆｒｏｍａｎＡｌｇｅｂｒａｉｎｔｏＩｔｓＢｉｍｏｄｕｌｅｓＸｕＢｅｎｌｏｎｇ（徐本龙）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｑｕｆｕ，Ｓｈａｎｄｏｎｇ，２７３１６５...     

欧氏空间半平行超曲面的分类

本文用活动标架法证明了Ｊ．Ｄｅｐｒｅｚ的关于欧氏空间半平行超曲面的局部分类定理．     

Hille-Yosida Type Theorem of Polynomial Bounded Cosine Operator Function

Ｈｉｌｅ┐ＹｏｓｉｄａＴｙｐｅＴｈｅｏｒｅｍｏｆＰｏｌｙｎｏｍｉａｌＢｏｕｎｄｅｄＣｏｓｉｎｅＯｐｅｒａｔｏｒＦｕｎｃｔｉｏｎＺｈａｎｇＸｉａｏｘｉａ（张小霞）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ...     

Reducing Subspaces of Certain Analytic Toeplitz Operators on the Bergman Space

ＲｅｄｕｃｉｎｇＳｕｂｓｐａｃｅｓｏｆＣｅｒｔａｉｎＡｎａｌｙｔｉｃＴｏｅｐｌｉｔｚＯｐｅｒａｔｏｒｓｏｎｔｈｅＢｅｒｇｍａｎＳｐａｃｅ＊）ＳｕｎＳｈａｎｌｉ（孙善利）ａｎｄＷａｎｇＹｕｅｊｉａｎ（王悦健）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉ...     

Minimal 2-spheresin S~n with Fixed Area

Ｍｉｎｉｍａｌ２┐ｓｐｈｅｒｅｓｉｎＳｎｗｉｔｈＦｉｘｅｄＡｒｅａＬｉＸｉｎｇｘｉａｏ（李兴校）（ＨｅｎａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｘｉｎｘｉａｎｇ，Ｈｅｎａｎ，４５３００２）ＡｂｓｔｒａｃｔＦｏｒｍｉｎｉｍａｌ２－ｓｐｈｅｒｅｓＳ２ｉｎｔ...     

C-cosine Operator Functions and the Second Order Abstract Cauchy Problem

Ｃ－ｃｏｓｉｎｅＯｐｅｒａｔｏｒＦｕｎｃｔｉｏｎｓａｎｄｔｈｅＳｅｃｏｎｄＯｒｄｅｒ　ＡｂｓｔｒａｃｔＣａｕｃｈｙＰｒｏｂｌｅｍＷａｎｇＨａｉｙａｎ（王海燕）（ＤｅｐａｒｔｍｅｔｎｏｆＭａｔｈｅｍａｔｉｃｓａｎｄＭｅｃｈａｎｉｃｓ，Ｓｏｕｔｈｅａｓｔ...     

Boundednes of Singular Integral Operators On Some Atom Spaces

ＢｏｕｎｄｅｄｎｅｓｏｆＳｉｎｇｕｌａｒＩｎｔｅｇｒａｌＯｐｅｒａｔｏｒｓＯｎＳｏｍｅＡｔｏｍＳｐａｃｅｓＬｉｕＬａｎｚｈｅ（刘岚吉吉）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＨｕｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｓｈａ，...     

由谱数据和主子阵的顺序特征对构造Jacobi矩阵

讨论由谱数据和主子阵的顺序特征对构造Jacobi矩阵问题,给出该问题有解的充分必要条件和求解的数值方法。     

一类缺项算子矩阵的谱补问题

对于Hilbert空间上的2×2算子矩阵,其中A∈B（H）,C∈B（K,H）,D∈B（H,K）给定,当X取遍B（K）中算子时,我们给出所有Nx的谱之交集和并集的刻画．     

算子n次方根的惟一性

B(H)表示定义在希尔伯特空间H上的所有有界线性算子的全体。对于A∈B(H),其中σ(A)和W(A)分别表示算子A的谱和数值域,N表示自然数集。关于算子A的n(n∈N)次方根,本文的主要结果是:(1)若σ(A)∩(-∞,0]=φ,则A有惟一的n次方根B∈B(H)且σ(B)(?)~(2/n)~o;(2)若(?)∩(-∞,0]=φ,则A有惟一的n次方根B∈B(H)且(?)(2/n)~o这里,S_(1/n)={λ∈C‖argλ|≤(1/2n)π}且S_(1/n)~o表示集合S+(1/n)的内部。     

Some Spectral Properties of Metapositive Definite Matrice

ＳｏｍｅＳｐｅｃｔｒａｌＰｒｏｐｅｒｔｉｅｓｏｆＭｅｔａｐｏｓｉｔｉｖｅＤｅｆｉｎｉｔｅＭａｔｒｉｃｅｓＬｉＺｈｕｘｉａｎｇ（李竹香）ＬｕＨｏｎｇｂｉｎ（吕洪斌）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＴｅａｃｈｅｒ＇ｓＣｏｌｅｇ...     

Renormalization Operators and Kneading Sequences

ＲｅｎｏｒｍａｌｉｚａｔｉｏｎＯｐｅｒａｔｏｒｓａｎｄＫｎｅａｄｉｎｇＳｅｑｕｅｎｃｅｓ￥ＬｉａｏＧｏｎｇｆｕ（廖公夫）ａｎｄＺｈａｎｇＡｉｈｕａ（张爱华）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．ＪｉｉｎＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｃｈ...     

Existence Theorems of Random Nash Equilibrium Points for Random Set-valued Maps

ＥｘｉｓｔｅｎｃｅＴｈｅｏｒｅｍｓｏｆＲａｎｄｏｍＮａｓｈＥｑｕｉｌｉｂｒｉｕｍＰｏｉｎｔｓｆｏｒＲａｎｄｏｍＳｅｔ┐ｖａｌｕｅｄＭａｐｓＬｕｏＱｕｎ（罗群）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＧｕｉｚｈｏｕＮｏｒｍａｌＵｎｉｖｅｒｓｉ...     

Free C-Algebras and the Problem of Uniquenes of Extension in Non-commutative Hahn-Banach Theorem

ＦｒｅＣ＊┐ＡｌｇｅｂｒａｓａｎｄｔｈｅＰｒｏｂｌｅｍｏｆＵｎｉｑｕｅｎｅｓｏｆＥｘｔｅｎｓｉｏｎｉｎＮｏｎ┐ｃｏｍｍｕｔａｔｉｖｅＨａｈｎ┐ＢａｎａｃｈＴｈｅｏｒｅｍ＊）ＺｈａｎｇＬｕｎｃｈｕａｎ（张伦传）ａｎｄＭａＪｉｐｕ（马吉溥）（Ｄｅｐａｒｔ...     

Linear Maps Preserving Invertibility or Related Spectral Properties

We survey some recent results on linear maps on operator algebras that preserve invertibility. We also consider related problems such as the problem of the characterization of linear maps preserving spectrum, various parts of spectrum, spectral radius, quasinilpotents, etc. We present some results on elementary operators and additive operators preserving invertibility or related properties. In particular, we give a negative answer to a problem posed by Gao and Hou on characterizing spectrumpreserving elementary operators. Several open problems are also mentioned.     

算子摄动与谱值映射的连续性

讨论 Hibert空间上有界线性算子摄动和谱值映射的连续性问题 .得到 σk(.)一类子集上半连续的充要条件和 H∞∞ (.)连续的充要条件 ,推广了文 [7]主要结果 .