共查询到20条相似文献,搜索用时 15 毫秒
1.
姚裕丰 《数学年刊A辑(中文版)》2012,33(4):483-496
设L=H(2r;1)或K(2r+1;1)是定义在特征p>2的代数封闭域F上的限制Hamiltonian型或Contact型李代数.在对广义Jacobson-Witt代数及特殊代数不可约表示的研究基础上,通过定义L的如下阶化:L=L[q],I,其中I是{1,2,…,r}的子集,得到当p-特征函数χ是正则半单时,所有不可约Uχ(L)-模都是从不可约Uχ(L[O].I)-模诱导的. 相似文献
2.
3.
关于伽略金方法收敛阶的估计 总被引:1,自引:0,他引:1
§1.引言设H是可分的Hilbert空间,内积为(·,·),范数为||·||.v是H的稠密子空间.于V定义另一内积[·,·]和相应的范数|·|,使v关于[·,·]具有Hilbert空间结构。假定v往H的嵌入:v|→H连续,即存在常数a>0,使 ||u||≤a|u|,uv. (1) 设L_1,L_2是由v到H的线性算子,其定义域D_(L_1),D_(L_2)是v的线性稠密子集,且D_(L_1)D_(L_2).令A=L_1+L_2(显然A的定义域D_A=D_(L_ I))。对H,我们考虑算子方程 相似文献
4.
极限点型 Sturm-Liouville 算子乘积的自伴性 总被引:1,自引:0,他引:1
假设微分算式l(y)=-(py') qy,t∈[a,∞),满足lk(y)(k=1,2,3)均为极限点型,作者研究了由l(y)生成的两个微分算子Li(i=1,2)的乘积L2L1的自伴性问题并获得其自伴的充分必要条件.同时研究了由l(y)=-y" qy,t∈[a,∞),生成的三个微分算子Li(i=1,2,3)的乘积L3L2L1的自伴性问题. 相似文献
5.
关于Banach空间一阶非线性脉冲积分-微分方程初值问题解存在性的注记 总被引:1,自引:0,他引:1
设m(t)∈C[Jk,R ](k=1,2,…,m),且满足不等式m(t)<(L1 L2t)∫tn(s)ds L3t∫a m(s)ds ∑o0满足KaLs(eδ(L1 aL2)-1)相似文献
6.
L1={X∈Rn×m|f(X)=‖XA1-B1‖2+‖CT1X-DT1‖2=min},L2={Y∈Rn×m|g(Y)=‖YA2-B2‖2+‖CT2Y-DT2‖2=min},其中A1∈Rm×k1,B1∈Rn×k1,C1∈Rn×l1,D1∈Rm×l1,A2∈Rm×k2,B2∈Rn×k2,C2∈Rn×l2,D2∈Rm×l2均为已知矩阵,本文讨论了L1,L2两个线性流形之间的逼近性,给出了d(L1,L2)=minX∈L1,Y∈L2‖X-Y‖的具体表达式. 相似文献
7.
Yves Felix Steve Halperin Jean-Claude Thomas 《Proceedings of the American Mathematical Society》2007,135(5):1575-1578
Let be a connected finite type graded Lie algebra. If dim and gldim , then log index . If, moreover, , then for some , dim where log index as
8.
T. A. Suslina 《Functional Analysis and Its Applications》2012,46(3):234-238
In a bounded domain O ⊂ ℝd with C 1,1 boundary a matrix elliptic second-order operator A D,ɛ with Dirichlet boundary condition is studied. The coefficients of this operator are periodic and depend on x/ɛ, where ɛ s 0 is a small parameter. The sharp-order error estimate $
\left\| {A_{D,\varepsilon }^{ - 1} - \left( {A_D^0 } \right)^{ - 1} } \right\|\left. {L_2 \to L_2 \leqslant C\varepsilon } \right|
$
\left\| {A_{D,\varepsilon }^{ - 1} - \left( {A_D^0 } \right)^{ - 1} } \right\|\left. {L_2 \to L_2 \leqslant C\varepsilon } \right|
相似文献
9.
Matthias Neufang 《Proceedings of the American Mathematical Society》2008,136(5):1831-1839
Let be a locally compact, non-compact group (we make the non-compactness assumption, for the most part, simply to avoid trivialities). We show that under a very mild assumption on the weight function , the weighted group algebra is strongly Arens irregular in the sense of Dales and Lau; i.e., both topological centres of equal . Also, we show that the topological centre of the algebra equals the weighted measure algebra . Moreover, still in the same situation, we prove that every linear (left) -module map on is automatically bounded, and even --continuous, hence given by convolution with an element in . To this end, we derive a general factorization theorem for bounded families in the -module . Finally, using this result in the case where , we give a short proof of a theorem due to Protasov and Pym, stating that the topological centre of the semigroup is empty, where denotes the -compactification of . This sharpens an earlier result by Lau and Pym; moreover, our method of proof gives a partial answer to a problem raised by Lau and Pym in 1995.
10.
利用算子理论及矩阵运算方法,讨论了由两类不同的对称微分算式D~((4))+D~((2))+q_1(t)和D~((4))+q_2(t)(D=d/dt,t∈I=[a,b])生成的微分算子的积算子的自伴性,获得了积算子是自伴算子的充分必要条件. 相似文献
11.
Ouyang Guangzhong 《数学年刊B辑(英文版)》1988,9(2):176-182
Let G be a locally compact but non-compact abelian group,It is proved thatM(A_p(G),L_1(G))=M(G)and M(A_p(G),L_1(G)∩C_0(G))=M(L_1(G),L_1(G)∩C_0(G)).If G is discrete,then M(A_p(G),L_1(G))=A_p(G),M(A_p,(G),L_1(G)∩C_0(G))=A_p(G). 相似文献
12.
13.
We give a characterization of R-bounded families of operators on We then use this result to study sectorial operators on . We show that if is an R-sectorial operator on , then, for any there is an invertible operator with such that for some strictly positive Borel function , contains the weighted -space
14.
Siberian Mathematical Journal - We refine some relations between the mixed smoothness moduli of fractional orders which are considered in the $ L_{1} $ and $ L_{q} $ metrics. 相似文献
15.
It is shown that the Bishop–Phelps–Bollobás theorem holds for bilinear forms on the complex \(C_0(L_1)\times C_0(L_2)\) for arbitrary locally compact topological Hausdorff spaces \(L_1\) and \(L_2\). 相似文献
16.
d维p-级数域特征系统的(C,α)均值估计(英文) 总被引:1,自引:1,他引:0
本文研究了d维p-级数域特征系统的(G,a)均值的问题.利用原子分解方法证明当max _1≤k_≤d/(ak+1)<q<∞时,极大算子δ~af(a=(a_1,…,a_d))足强(H_q,L_q)型和弱(L_1,L_1)型.从而序列(δa_n~f)几乎处处收敛和依Hq范数收敛于f.上述结果对共轭算子同样成立.此结果推广F.Weisz的结果. 相似文献
17.
BERGMAN TYPE OPERATOR ON MIXED NORM SPACES WITH APPLICATIONS 总被引:3,自引:0,他引:3
BERGMANTYPEOPERATORONMIXEDNORMSPACESWITHAPPLICATIONSRENGUANGBINSHIJIHUAIAbstractTheauthorsinvestigatetheconditionsforthebou... 相似文献
18.
Ethan S. Devinatz 《Proceedings of the American Mathematical Society》1998,126(3):907-911
We prove that, if , the -localization of the -localization map is not a split monomorphism in the stable category by exhibiting spectra for which the map is not injective. If and , we show that may be taken to be a two-cell complex in the sense of -local homotopy theory. The question of whether the map splits was asked by Hovey and is in some sense a -analogue of Hopkins' chromatic splitting conjecture.
19.
Velimir Jurdjevic 《Regular and Chaotic Dynamics》2011,16(5):514-535
Control theory, initially conceived in the 1950’s as an engineering subject motivated by the needs of automatic control, has undergone an important mathematical transformation since then, in which its basic question, understood in a larger geometric context, led to a theory that provides distinctive and innovative insights, not only to the original problems of engineering, but also to the problems of differential geometry and mechanics. This paper elaborates the contributions of control theory to geometry and mechanics by focusing on the class of problems which have played an important part in the evolution of integrable systems. In particular the paper identifies a large class of Hamiltonians obtained by the Maximum principle that admit isospectral representation on the Lie algebras \(\mathfrak{g} = \mathfrak{p} \oplus \mathfrak{k}\) of the form The spectral invariants associated with L λ recover the integrability results of C.G.J. Jacobi concerning the geodesics on an ellipsoid as well as the results of C. Newmann for mechanical problem on the sphere with a quadratic potential. More significantly, this study reveals a large class of integrable systems in which these classical examples appear only as very special cases.
相似文献
$\frac{{dL_\lambda }}{{dt}} = \left[ {\Omega _\lambda ,L_\lambda } \right]L_\lambda = L_\mathfrak{p} - \lambda L_\mathfrak{k} - \left( {\lambda ^2 - s} \right)A, L_\mathfrak{p} \in \mathfrak{p}, L_\mathfrak{k} \in \mathfrak{k}.$
20.
Ming Yang 《Annali dell'Universita di Ferrara》2014,60(2):465-493
We present several conditions for generic uniqueness of tensor decompositions of multilinear rank \((1,\ L_{1},\ L_{1}),\cdots ,(1,\ L_{R},\ L_{R})\) terms. In geometric language, we prove that the joins of relevant subspace varieties are not tangentially weakly defective. We also give conditions for partial uniqueness of block term tensor decompositions by proving that the joins of relevant subspace varieties are not defective. 相似文献