q元非线性2-重量码(n,2,ω_1,ω_2)的检错性能

通过定义δ(xi,yi)函数,把2元非线性2-重量码(n,2,ω1,ω2)的性质推广到q元非线性2-重量码(n,2,ω1,ω2)上,根据码的距离分布和对偶距离分布讨论了码C的不可检错概率.给出了码C不是最佳检错码的几个条件.     

THE WEIGHTED HERZ-TYPE HARDY SPACES hK_q~(α,p)(ω_1,ω_2)

Let (.the Muckenhoupt class). In this paper, the author introduce the weighted Herz-type Hardy spaces (w2) and present their atomic decomposition. Using the atomic decomposition, the author find out their dual spaces, establish the boundedness on these spaces of the pseudo-differential operators of order zero and show that , the class of C(Rn)-functions with compactly support, is dense in and there is a subsequence, which converges in distrbutional sense to some distribution of , of any bounded sequence in In addition, the author also set up the boundedness of some non-linear quantities in compensated compactness.     

B(LF,ω～2 )-refinability of inverse limits

Let X be the limit of an inverse system {X α , παβ , Λ} and and let λ be the cardinal number of Λ. Assume that each projection πα : X→ X α is an open and onto map and X is λ-paracompact. We prove that if each X α is B(LF, ω 2 )-refinable (hereditarily B(LF, ω 2 )-refinable), then X is B(LF, ω 2 )-refinable (hereditarily B(LF, ω 2 )-refinable). Furthermore, we show that B(LF, ω 2 )-refinable spaces can be preserved inversely under closed maps.     

The Missing Boundaries of the Santaló Diagrams for the Cases (d,ω, R ) and (ω ,R,r )

In this paper we solve two open problems posed by Santaló: to obtain complete systems of inequalities for some triples of measures of a planar convex set. Received February 17, 1999, and in revised form July 15, 1999.     

The Equivalence between Property (ω) and Weyl’s Theorem

We call T ∈ B(H) consistent in Fredholm and index (briefly a CFI operator) if for each B ∈ B(H),T B and BT are Fredholm together and the same index of B,or not Fredholm together.Using a new spectrum defined in view of the CFI operator,we give the equivalence of Weyl’s theorem and property (ω) for T and its conjugate operator T* .In addition,the property (ω) for operator matrices is considered.     

The Johnson graph J(d,r) is unique if (d,r) ≠ (2, 8)

We use the classical Root Systems to show the Johnson graph J(d, r) (2 ⩽ 2d ⩽ r < ∞) is the unique distance-regular graph with its intersection numbers when (d, r) ≠ (2, 8). Since this exceptional case has been dealt with by Chang [6] this completes the characterization problem for Johnson graph.     

(ω)性质的判定

利用新定义的谱集,刻画了Hilbert空间上有界线性算子满足(ω_1)性质和(ω)性质的等价条件.另外,利用该谱集,对算子函数的(ω)性质进行了判定.     

M_t~2上的强ω(α)轨道稳定性

考虑度量空间R上的动力系统R_1。 定义1 轨道f(p,t)称为ω(α)轨道稳定的,如果对任给的ε>0,存在某个δ>0,使得从p点的δ邻域出发的正(负)半轨都落在半轨d(p,I~+)(g(p,I~-)]的ε邻域之中。(见[1]) 定义2 轨道f(p,t)称为强ω(α)轨道稳定的,如果存在p点的邻域S(p),使得q∈S(p)f(q,t)的极限集Ω_q(A_q)=Ω_p(A_p)。 显然R_t上ω(α)轨道稳定或强ω(α)轨道稳定的轨道集合是不变的开集合,而且不难验证,对于紧致的R_t上强ω(α)轨道稳定的轨道一定是ω(α)轨道稳定的,但一般说来,ω(α)轨道稳定的轨道未必是强ω(α)轨道稳定的。     

(ω,σ)-Smash积积和和(ν,α)-Smash余余积积

设B,H是两个Hopf代数,构造了(ω,σ)-Smash积Bω#σH和(ν,α)-Smash余积Bν■αH,并给出了Bω#σH是Hopf代数和Bν■αH是双代数的充要条件,证明了许多已知的积和余积是它们的特殊情况.     

(f,ω)-Compatible Pair (B,H) for ω-Smash Coproduct Hopf Algebras

In this paper we introduce the notion of (f,ω)-compatible pair (B,H), by which we construct a Hopf algebra in the category HHYD of Yetter-Drinfeld H-modules by twisting the comultiplication of B. We also study the property of ω-smash coproduct Hopf algebras Bω H.     

SL(2,R)上ωkHα的Fourier变换的渐近性质

引入了SL(2，R)上的函数类ω^kH^α，利用李代数及其万有包络代数在表示空间中的作用，我们得到了ω^kH^α中的函数的Fourier变换渐近的阶。     

2×2上三角算子矩阵的广义(ω)性质(英文）

本文利用拓扑一致降标研究了Weyl定理的两个变形——广义(ω_1)性质及广义(ω)性质,给出了Hilbert空间中有界线性算子满足广义(ω_1)性质及广义(ω)性质的充要条件;最后,利用所得结果讨论了2×2上三角算子矩阵的广义(ω_1)性质及广义(ω)性质.     

Property(ω) and Its Perturbations

A Hilbert space operator T is said to have property(ω1) if σa(T)\σaw(T) ? π00(T), where σa(T) and σaw(T) denote the approximate point spectrum and the Weyl essential approximate point spectrum of T respectively, and π00(T) = {λ∈ iso σ(T), 0 dim N(T- λI) ∞}. If σa(T)\σaw(T) = π00(T), we say T satisfies property(ω). In this note, we investigate the stability of the property(ω1) and the property(ω) under compact perturbations, and we characterize those operators for which the property(ω1) and the property(ω) are stable under compact perturbations.     

Property (ω) and Its Perturbations

In the note,we establish for a bounded linear operator defined on a Hilbert space the necessary and sufficient conditions for the stability of property(ω) by means of the variant of the essential approximate point spectrum and the induced spectrum of consistency in Fredholm and index.In addition,the stability of property(ω) for H(P) operators is considered.     

A Note on Property(ω)

In this note we study the property(ω),a variant of Weyl's theorem introduced by Rakoevic,by means of the new spectrum.We establish for a bounded linear operator defined on a Banach space a necessary and sufficient condition for which both property(ω) and approximate Weyl's theorem hold.As a consequence of the main result,we study the property(ω) and approximate Weyl's theorem for a class of operators which we call the λ-weak-H(p) operators.     

利用辛空间上子空间构作(ω,r,d)-CFF(N,T)

利用辛空间上m维(m,s)型子空间的性质构作了(w,r,d)-CFF(N,T)系统,并利用子空间的计数定理计算了它的参数.一个(ω,r,d)-CFF(N,T)系统在许多领域有着极为广泛的应用.     

CD0(K,E) and CDω(K,E)-Spaces as Banach Lattices

Banach lattices CD ₀(K,E) and CD (K,E) are introduced and lattice-norm properties of these spaces are investigated. We identify the centre and order continuous dual of these spaces.     

Lω-空间的ω-Lindel(o)f性质

在Lω-空间中引入ω-Lindel(o)f性质和ω-Lindel(o)f空间等概念,给出了其等价刻画,并证明它保持L-拓扑空间中许多良好的性质,如闭遗传性、L-好的推广、被连续的L值Zadeh型函数所保持.此外,引入了ω-紧性的概念,研究了其若干性质.