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1.
《Quaestiones Mathematicae》2013,36(3):287-294
We prove that every 2-summing operator from a Banach space X into an L 1-space is nuclear if and only if X is isomorphic to a Hilbert space. Then we study the class of Banach spaces X for which Π2(l 2, X) = N 1(l 2, X). 相似文献
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Let X be a Banach space and Φ be an Orlicz function.Denote by LΦ(I,X)the space of X-valued Φ-integrable functions on the unit interval I equipped with the Luxemburg norm.For f1,f2,...,fm ∈ LΦ(I,X),a distance formula disΦ(f1,f2,...,fm,LΦ(I,G))is presented,where G is a close subspace of X.Moreover,some existence and characterization results concerning the best simultaneous approximation of LΦ(I,G)in LΦ(I,X)are given. 相似文献
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Yoshiaki Fukuma 《代数通讯》2013,41(4):1728-1739
Let X be a smooth complex projective variety of dimension 3 and let L be an ample line bundle on X. In this article, we give a characterization of (X, L) with g(X, L) = q(X) and h0(L) = 2, where g(X, L) (resp. q(X)) denotes the sectional genus of (X, L) (resp. the irregularity of X). 相似文献
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设 Γ为一非空集 ,( X ,y ·y) 为 Banach 空间. 本文主要结果 如下:(1) U(c0 (Γ, X),p ) 为稳定 的当且仅当 U( X) 是稳定的.(2) 设 Γ为无限集,那么下 列三条等价:(a) (c0 (Γ, X ),p ) 有 λ性质 , (b) (c0 (Γ, X ),p ) 有一致 λ性质,(c)( X,y ·y) 有一致 λ性质 .(3) 设 Γ为 有限集,那么(c0 (Γ, X ),p ) 有 λ性 质(相应地,一致 λ性质) 当且 仅当( X,y ·y) 有 λ性质(相应地,一致 λ性质).(4) (c0 (Γ, X),p ) 有 Kadets 性质 (相应地, Kadets Klee 性质) 当且仅 当( X,y ·y) 有 Kadets 性质(相 应地, Kadets Klee 性质 ).(5) w ∈ S(c0 (Γ, X),p ) 是 U(c0 (Γ, X),p ) 的可凹点(相应 地, P C) 当且仅当对于 任意的 t∈ E(w ),w (t) 是(x ∈ X: yx y ≤ yw (t)y) 的可凹点 (相应地, P C). 相似文献
6.
定义了(L,M)-fuzzy闭包系统与(L,M)-fuzzy闭包算子的概念,建立了给定集合X上(L,M)-fuzzy闭包系统的全体FCS(L,M,X)和(L,M)-fuzzy闭包算子的全体FCO(L,M,X)之间的一一对应(在此基础上证明了(L,M)-fuzzy闭包系统空间范畴LMFCSS与(L,M)-fuzzy闭包算子空间范畴LMFCOS是同构的)。此外还证明了(2,M)-fuzzy闭包系统空间范畴2MFCSS可嵌入到(L,M)-fuzzy闭包系统空间范畴LMFCSS,(2,M)-fuzzy闭包算子空间范畴2MFCOS可嵌入到(L,M)-fuzzy闭包算子空间范畴LMFCOS。 相似文献
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T. S. S. R. K. Rao 《Proceedings Mathematical Sciences》1999,109(3):309-315
In this note we consider the property of being constrained in the bidual, for the space of Bochner integrable functions. For
a Banach spaceX having the Radon-Nikodym property and constrained in its bidual and forY ⊂ X, under a natural assumption onY, we show thatL
1 (μ, X/Y) is constrained in its bidual andL
1 (μ, Y) is a proximinal subspace ofL
1(μ, X). As an application of these results, we show that, ifL
1(μ, X) admits generalized centers for finite sets and ifY ⊂ X is reflexive, thenL
1
μ, X/Y) also admits generalized centers for finite sets. 相似文献
8.
Let A be an unital Banach algebra with the unital element I. We denote the set of (n×n)-matrices over A by Mn(A). The set of idempotent elements of A is denoted by P1(A):={P∈A: P2=P}, and accordingly the set of idempotent elements of Mn(A) is denoted by Pn(A):=P1(Mn(A)). We define P∞(A) :=∪n∈N Pn(A). In the set of P∞(A), for P,Q ∈ Pn(A), we say that P is (algebraic) equivalent to Q, if there exist A,B∈ Mn(A) such that 相似文献
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Valeri V. Dvoeglazov 《Advances in Applied Clifford Algebras》1999,9(2):231-236
We continue to study the ‘fermion — 4-vector potential’ interactions in the framework of the McLennan-Case construct which
is a reformulation of the Majorana theory of the neutrino. This theory is shown after applying Majorana-likeanzatzen to give rise to appearance of unusual terms as σ [A×A*], which were recently discussed in non-linear optics. 相似文献
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设G=(X,Y,E(G))是一个二分图,分别用V(G)=XUY和E(G)表示G的顶点集和边集.设f是定义在V(G)上的整数值函数且对(A)x∈V(G)有f(x)≥k.设H_1,H_2,…,H_k是G的k个顶点不相交的子图,且|E(H_i)|=m,1≤i≤k.本文证明了每个二分(0,mf-m+1)-图G有一个(0,f)-因子分解正交于Hi(i=1,2,…,k). 相似文献
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Guanggui Ding 《中国科学 数学(英文版)》2001,44(3):273-279
In this paper we shall assert that if T is an isomorphism of L∞(Ω1, A, μ) into L∞(Ω2, B, υ) satisfying the condition ‖T‖·‖T ?1‖?1+? for ?∈ $\left( {0,\frac{1}{5}} \right)$ , then $\frac{T}{{\parallel T\parallel }}$ is close to an isometry with an error less than 6ε in some conditions. 相似文献
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Zdeněk Skalák 《Applications of Mathematics》2003,48(2):153-159
We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution u belongs to L
(0, T, L
3()3), then the set of all possible singular points of u in is at most finite at every time t0 (0,T). 相似文献
19.
Quansen Jiu 《应用数学学报(英文版)》1996,12(2):121-129
It is proved that there exist global weak solutions of 2-D Euler equations inR
2 under the assumption that the initial vorticity belongs to a kind of wider spaces,L
1L(log+
L)
(>0), which are Orlicz spaces containing spacesL
p
L
1,L(log+
L)
L (>1/2) and so on. This result improves on that of [2], [4], [11]. Moreover, these solutions are obtained by vanishing the viscosity term of Navier-Stokes equations. 相似文献
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一般高等数学教材中是这样给出二元函数二阶混合偏导数与求导次序无关的条件的:如果在点连续,则这个充分条件是可以减弱的,现介绍如下:定理如果在点(x。,y。)的某一邻域内,人(x,s)与人(x,,)都连续,且人(x,s)在(x。,y。)处连续,则几(x。,y。)存在,且人/X。,y)一九(X。,y).证由偏导数的定义故只需证明()、(2)两式右端之极限存在且相等。由于人(。,g)在(x。,g。)连续,从而由Lagrange中值定理有Q(}1,足)一g(yo+k)-g(yo)一kg’(yo+0k),此处O<「<1.而/(y)一人(X。+4,y)… 相似文献