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奇异偶特征正交几何中的几个计数定理
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作者 刘明鹏 覃学峰 +1 位作者 陈修焕 霍元极 《河北师范大学学报(自然科学版)》 CAS 2016年第2期93-97,共5页
设Fq是偶特征的q元有限域,F2ν+δ+lq是Fq上的2ν+δ+l维行向量空间,O2ν+δ+l(Fq)是偶特征有限域Fq上秩为2ν+δ而级为2ν+δ+l的正交群.用M(m,2s+γ,s,Γ,k;2ν+δ+l)表示F2ν+δ+lq的子空间集合在O2ν+δ+l(Fq)作用下的一个轨道.借... 设Fq是偶特征的q元有限域,F2ν+δ+lq是Fq上的2ν+δ+l维行向量空间,O2ν+δ+l(Fq)是偶特征有限域Fq上秩为2ν+δ而级为2ν+δ+l的正交群.用M(m,2s+γ,s,Γ,k;2ν+δ+l)表示F2ν+δ+lq的子空间集合在O2ν+δ+l(Fq)作用下的一个轨道.借助矩阵的初等变换和在F2ν+lq上的子空间的长度表达式给出了M(m,2s+γ,s,Γ,k;2ν+δ+l)的长度表达式,并且给出偶特征的奇异正交几何中所有(m,2s+γ,s,Γ)型和(m,2s+τ,k)型子空间个数的表达式. 展开更多
关键词 轨道 有限域 奇异正交群 (m 2s+γ s Γ)型空间 (m 2s+τ k)空间
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The Degree Theory of a New Operator
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作者 闫宝强 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第1期55-60, ,共6页
This paper defines a concept of a semi k set contract operator and establishes a degree theory for it.
关键词 kset contraction topological degree equicontinuous set
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Interpolated Tensor Products of Exponential Type Vectors of Unbounded Operators
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《Journal of Mathematics and System Science》 2014年第2期99-104,共6页
In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation (K-functional) we prove the interpolation theo... In this paper we define the tensor products of spaces of exponential type vectors of closed unbounded operators in Banach spaces. Using the real method of interpolation (K-functional) we prove the interpolation theorems that permit to characterize of tensor products of spaces of exponential type vectors, We show an application of abstract results to the theory of regular elliptic operators on bounded domains. For such operators the exponential type vectors are root vectors. Thus we describe the tensor products of root vectors of regular elliptic operators on bounded domains. 展开更多
关键词 Exponential type vector tensor product interpolation space regular elliptic operator
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AVERAGE σ-K WIDTH OF CLASS OF L_p(R^n) IN L_q (R^n) 被引量:7
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作者 LIU YONGPING(Department of Mathematics, Beijing Normal University, Beliing 100875, China.) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期351-360,共10页
The average σ-K width of the Sobolev-Wiener class in Lq(Rn) is studied for and the asymptotic behaviour of this quantity is determined. The exact value of average σ-K width of some class of smooth functions in L2(Rn... The average σ-K width of the Sobolev-Wiener class in Lq(Rn) is studied for and the asymptotic behaviour of this quantity is determined. The exact value of average σ-K width of some class of smooth functions in L2(Rn) is obtained. 展开更多
关键词 Average σ-k width Optimal subspace Sobolev-Wiener class Riesz potential.
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Positivity of Fock Toeplitz Operators via the Berezin Transform
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作者 Xianfeng ZHAO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第4期533-542,共10页
Abstract This paper deals with the relationship between the positivity of the Fock Toeplitz operators and their Berezin transforms. The author considers the special case of the bounded radial function φ(z)=α + be... Abstract This paper deals with the relationship between the positivity of the Fock Toeplitz operators and their Berezin transforms. The author considers the special case of the bounded radial function φ(z)=α + be-α|z|2 + ce-β|z|2, where a, b, c are real numbers and α,β are positive numbers. For this type of φ, one can choose these parameters such that the Berezin transform of is a nonnegative function on the complex plane, but the corresponding Toeplitz operator Tφ is not positive on the Fock space. 展开更多
关键词 Positive Toeplitz operators Fock space Berezin transform
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