共查询到20条相似文献,搜索用时 93 毫秒
1.
Let H be a Hilbert space and C be a nonempty closed convex subset of H, {Ti}i∈N be a family of nonexpansive mappings from C into H, Gi:C×C→R be a finite family of equilibrium functions (i∈{1,2,…,K}), A be a strongly positive bounded linear operator with a coefficient and -Lipschitzian, relaxed (μ,ν)-cocoercive map of C into H. Moreover, let , {αn} satisfy appropriate conditions and ; we introduce an explicit scheme which defines a suitable sequence as follows:
2.
Susana Coré 《Journal of Mathematical Analysis and Applications》2010,370(2):472-485
Let G be a homogeneous group with homogeneous dimension Q, and let So denote the space of Schwartz functions on G with all moments vanishing. Let be the usual Euclidean Fourier transform. For j∈R, we let be the space of J, smooth away from 0, satisfying |α∂J(ξ)|?Cβ|ξ|j−|β|, where both |ξ| and |β| are taken in the homogeneous sense. We characterize , and show that as elements of . If j1,j2,j1+j2>−Q, one can replace So, by S, S′ in this result. A key ingredient of our proof is a lemma from the fundamental wavelet paper from 1985 by Frazier and Jawerth [4]. We believe that, in turn, our result will be useful in the theory of wavelets on homogeneous groups. 相似文献
3.
Quanlei Fang 《Journal of Functional Analysis》2011,260(3):639-673
Let f be a multiplier for the Drury-Arveson space of the unit ball, and let ζ1,…,ζn denote the coordinate functions. We show that for each 1?i?n, the commutator belongs to the Schatten class Cp, p>2n. This leads to a localization result for multipliers. 相似文献
4.
Hans Schoutens 《Journal of Pure and Applied Algebra》2003,177(1):95-101
There is an algorithm which computes the minimal number of generators of the ideal of a reduced curve C in affine n-space over an algebraically closed field K, provided C is not a local complete intersection.The existence of such an algorithm follows from the fact that given , there exists , such that if is a height n−1 radical ideal in K[X1,…,Xn], generated by polynomials of degree at most d, then admits a set of generators of minimal cardinality, with each generator having degree at most d′, except possibly when is an (unmixed) local complete intersection. 相似文献
5.
6.
Vincenzo Ancona 《Bulletin des Sciences Mathématiques》2010,134(7):705
Let (X,OX) be a compact (reduced) complex space, bimeromorphic to a Kähler manifold. The singular cohomology groups Hq(X,C) carry a mixed Hodge structure. In particular they carry a weight filtration W−lHq(X,C) (l=0,…,q), and the graded quotients have a direct sum decomposition into holomorphic invariants as . Here we investigate the relationships between the above invariants for r=0 and the cohomology groups , where is the sheaf of weakly holomorphic functions on X. Moreover, according to the smooth case, we characterize the topological line bundles L on X such that the class of c1(L) in has pure type (1,1). 相似文献
7.
Youngmee Koh 《Discrete Mathematics》2007,307(21):2628-2635
A permutation graph is a simple graph associated with a permutation. Let cn be the number of connected permutation graphs on n vertices. Then the sequence {cn} satisfies an interesting recurrence relation such that it provides partitions of n! as . We also see that, if uniformly chosen at random, asymptotically almost all permutation graphs are connected. 相似文献
8.
Shuzhou Wang 《Journal of Functional Analysis》2009,256(10):3313-3341
The notion of simple compact quantum group is introduced. As non-trivial (noncommutative and noncocommutative) examples, the following families of compact quantum groups are shown to be simple: (a) The universal quantum groups Bu(Q) for Q∈GL(n,C) satisfying , n?2; (b) The quantum automorphism groups Aaut(B,τ) of finite-dimensional C∗-algebras B endowed with the canonical trace τ when dim(B)?4, including the quantum permutation groups Aaut(Xn) on n points (n?4); (c) The standard deformations Kq of simple compact Lie groups K and their twists , as well as Rieffel's deformation KJ. 相似文献
9.
Let C(w1,w2,w3) denote the circle in through w1,w2,w3 and let denote one of the two arcs between w1,w2 belonging to C(w1,w2,w3). We prove that a domain Ω in the Riemann sphere, with no antipodal points, is spherically convex if and only if for any w1,w2,w3∈Ω, with w1≠w2, the arc of the circle which does not contain lies in Ω. Based on this characterization we call a domain G in the unit disk D, strongly hyperbolically convex if for any w1,w2,w3∈G, with w1≠w2, the arc in D of the circle is also contained in G. A number of results on conformal maps onto strongly hyperbolically convex domains are obtained. 相似文献
10.
Götz Wiesend 《Journal of Number Theory》2006,121(1):118-131
Let X be a regular arithmetic scheme, i.e. a regular integral separated scheme flat and of finite type over SpecZ. Assume that for all closed irreducible subschemes C⊆X of dimension 1 with normalisation there are given open normal subgroups NC of , which fulfil the following compatibility condition: For all the pre-images of NC1 and NC2 in coincide. If the indices of the NC are bounded, then these data uniquely determine an open normal subgroup of π1(X), whose pre-image in is NC for all C. 相似文献
11.
Zhijun Zhang 《Journal of Mathematical Analysis and Applications》2005,308(2):532-540
By constructing the comparison functions and the perturbed method, it is showed that any solution u∈C2(Ω) to the semilinear elliptic problems Δu=k(x)g(u), x∈Ω, u|∂Ω=+∞ satisfies , where Ω is a bounded domain with smooth boundary in RN; , −2<σ, c0>0, ; g∈C1[0,∞), g?0 and is increasing on (0,∞), there exists ρ>0 such that , ∀ξ>0, , . 相似文献
12.
Prem L. Sharma 《Discrete Mathematics》2008,308(24):6003-6008
Given a cubical box C2n+1 of side 2n+1 and a supply of 1×2×4 bricks, it is proved that if n≥2, then
- (A1)
- one can pack bricks for n odd, and bricks for n even,
- (A2)
- the capacity of C2n+1 is , and if n≡1 or 2 (mod4), this upper bound for the capacity can be reduced by 1.
13.
14.
Let C be a closed convex subset of a uniformly smooth Banach space E and let T:C→C be a nonexpansive mapping with a nonempty fixed points set. Given a point u∈C, the initial guess x0∈C is chosen arbitrarily and given sequences , and in (0,1), the following conditions are satisfied:
- (i)
- ;
- (ii)
- αn→0, βn→0 and 0<a?γn, for some a∈(0,1);
- (iii)
- , and . Let be a composite iteration process defined by
15.
Duality and chirality are examples of operations of order 2 on hypermaps. James showed that the groups of all operations on hypermaps and on oriented hypermaps can be identified with the outer automorphism groups and of the groups Δ=C2∗C2∗C2 and Δ+=F2. We will consider the elements of finite order in these two groups, and the operations they induce. 相似文献
16.
Achim Tresch 《Journal of Pure and Applied Algebra》2007,208(1):331-338
For a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for all g∈G, where CG(gG) is the centralizer in G of the normal closure of g in G. For the class Ff of groups of finite order less than or equal to f, a classical result of B.H. Neumann [Groups with finite classes of conjugate elements, Proc. London Math. Soc. 1 (1951) 178-187] states that if G∈CFf, the commutator group G′ belongs to Ff′ for some f′ depending only on f. We prove that a similar result holds for the class , the class of soluble groups of derived length at most d which have Prüfer rank at most r. Namely, if , then for some r′ depending only on r. Moreover, if , then for some r′ and f′ depending only on r,d and f. 相似文献
17.
Guilong Gui 《Advances in Mathematics》2010,225(3):1248-1284
In this paper, we consider the stability to the global large solutions of 3-D incompressible Navier-Stokes equations in the anisotropic Sobolev spaces. In particular, we proved that for any , given a global large solution v∈C([0,∞);H0,s0(R3)∩L3(R3)) of (1.1) with and a divergence free vector satisfying for some sufficiently small constant depending on , v, and , (1.1) supplemented with initial data v(0)+w0 has a unique global solution in u∈C([0,∞);H0,s0(R3)) with ∇u∈L2(R+,H0,s0(R3)). Furthermore, uh is close enough to vh in C([0,∞);H0,s(R3)). 相似文献
18.
Let S2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over , O the ring of endomorphisms of C, and ? a topological generator of (or if p=2). We show that for p>2 the group Γ⊆O[1/?]× of quasi-endomorphisms of degree a power of ? is dense in S2. For p=2, we show that Γ is dense in an index 2 subgroup of S2. 相似文献
19.
Zhongxiang Zhang 《Journal of Mathematical Analysis and Applications》2006,315(2):491-505
In this paper, we mainly study properties of nullsolutions of the operator Dk (k∈N∗=N?{0}), so-called k-regular functions. Firstly, we study the set of all homogeneous polynomials of degree p in x1,…,xn which are k-regular in the whole Rn, clearly is a right module over C(Vn,n), we construct a basis for the right module . Secondly, we study the k-regular and analytic functions, and we give the Taylor expansions for these functions. At last, the corresponding Taylor expansions for k-regular functions are given since each k-regular function is a real analytic function. 相似文献
20.
Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the corresponding Abel map , which maps C into its compactified Jacobian, and form its pullback map , which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then is known to be an isomorphism. We prove that always extends to a map between the natural compactifications, , and that the extended map is an isomorphism if C has, at worst, ordinary nodes and cusps. 相似文献