共查询到20条相似文献,搜索用时 15 毫秒
1.
Michal Sadowski 《Central European Journal of Mathematics》2004,2(2):332-338
Let E
Aff(Γ,G, m) be the set of affine equivalence classes of m-dimensional complete flat manifolds with a fixed fundamental group Γ and a fixed holonomy group G. Let n be the dimension of a closed flat manifold whose fundamental group is isomorphic to Γ. We describe E
Aff(Γ,G, m) in terms of equivalence classes of pairs (ε, ρ), consisting of epimorphisms of Γ onto G and representations of G in ℝ
m-n
. As an application we give some estimates of card E
Aff(Γ,G, m). 相似文献
2.
Subhash J. Bhatt 《Proceedings Mathematical Sciences》2006,116(2):161-173
Given anm-tempered strongly continuous action α of ℝ by continuous*-automorphisms of a Frechet*-algebraA, it is shown that the enveloping ↡-C
*-algebraE(S(ℝ, A∞, α)) of the smooth Schwartz crossed productS(ℝ,A
∞, α) of the Frechet algebra A∞ of C∞-elements ofA is isomorphic to the Σ-C
*-crossed productC
*(ℝ,E(A), α) of the enveloping Σ-C
*-algebraE(A) ofA by the induced action. WhenA is a hermitianQ-algebra, one getsK-theory isomorphismRK
*(S(ℝ, A∞, α)) =K
*(C
*(ℝ,E(A), α) for the representableK-theory of Frechet algebras. An application to the differential structure of aC
*-algebra defined by densely defined differential seminorms is given. 相似文献
3.
Ryoichi Shimizu 《Annals of the Institute of Statistical Mathematics》1987,39(1):611-622
Summary LetX be a standard normal random variable and let σ be a positive random variable independent ofX. The distribution of η=σX is expanded around that ofN(0, 1) and its error bounds are obtained. Bounds are given in terms of E(σ
2V−σ
2−1)
k
whereσ
2Vσ
−2 denotes the maximum of the two quantitiesσ
2 andσ
−2, andk is a positive integer, and of E(σ
2−1)
k
, ifk is even.
The Institute of Statistical Mathematics 相似文献
4.
LetE be a real nuclear locally convex space; we prove that the space ℰub(E), of allC
∞-functions of uniform bounded type onE, coincides with the inductive limit of the spaces ℰNbc(E
v) (introduced by Nachbin-Dineen), whenV ranges over a basis of convex balanced 0-neighbourhoods inE. LetE be a real nuclear bornological vector space; we prove that the space ℰ(E) of allC
∞-functions onE coincides with the projective limit of the spaces ℰNbc(E
B), whenB is a closed convex balanced bounded subset ofE. As a consequence we obtain some density results and a version of the Paley-Wiener-Schwartz theorem.
Research done during the stay of this author at the University of Bordeaux (France) in the academic year 1980–1981. 相似文献
5.
Zeng Fanping 《数学学报(英文版)》1998,14(4):457-462
LetP andAC be two primary sequences with min{P, AC}≥RLR
∞,ρ(P) and ρ(AC) be the eigenvalues ofP andAC, respectively. Letf∈C
0
(I, I) be a unimodal expanding map with expanding constant λ and m be a nonegative integer. It is proved thatf has the kneading sequenceK(f)≥(RC)
*m
*P if λ≥(ρ(P))1/2m, andK(f)>(RC)
*m*AC*E for any shift maximal sequenceE if λ>(ρ(AC))1/2m. The value of (ρ(P))1/2m or (ρ(AC))1/2m is the best possible in the sense that the related conclusion may not be true if it is replaced by any smaller one.
Project supported by the National Natural Science Foundation of China 相似文献
6.
Guizhen LIU 《Frontiers of Mathematics in China》2009,4(2):311-323
Let G be a digraph with vertex set V(G) and arc set E(G) and let g = (g
−, g
+) and ƒ = (ƒ
−, ƒ
+) be pairs of positive integer-valued functions defined on V(G) such that g
−(x) ⩽ ƒ
−(x) and g
+(x) ⩽ ƒ
+(x) for each x ∈ V(G). A (g, ƒ)-factor of G is a spanning subdigraph H of G such that g
−(x) ⩽ id
H
(x) ⩽ ƒ
−(x) and g
+(x) ⩽ od
H
(x) ⩽ ƒ
+(x) for each x ∈ V(H); a (g, ƒ)-factorization of G is a partition of E(G) into arc-disjoint (g, ƒ)-factors. Let
= {F
1, F
2,…, F
m} and H be a factorization and a subdigraph of G, respectively.
is called k-orthogonal to H if each F
i
, 1 ⩽ i ⩽ m, has exactly k arcs in common with H. In this paper it is proved that every (mg+m−1,mƒ−m+1)-digraph has a (g, f)-factorization k-orthogonal to any given subdigraph with km arcs if k ⩽ min{g
−(x), g
+(x)} for any x ∈ V(G) and that every (mg, mf)-digraph has a (g, f)-factorization orthogonal to any given directed m-star if 0 ⩽ g(x) ⩽ f(x) for any x ∈ V(G). The results in this paper are in some sense best possible.
相似文献
7.
A. K. Katsaras 《P-Adic Numbers, Ultrametric Analysis, and Applications》2009,1(3):190-203
LetX be a Hausdorff zero-dimensional topological space,K(X) the algebra of all clopen subsets of X, E a Hausdorff locally convex space over a non-Archimedean valued field and C
b
(X) the space of all bounded continuous -valued functions on X. The space M(K(X),E), of all bounded finitely-additive measures m: K(X) → E, is investigated. If we equip C
b
(X) with the topologies β
o
, β, β
u
, τ
b
or β
ob
, it is shown that, for E (compete, the corresponding spaces of continuous linear operators from C
b
(X) to E (are algebraically isomorphic to certain subspaces of M(K(X),E).
The text was submitted by the author in English. 相似文献
8.
R. Grant Woods 《Israel Journal of Mathematics》1971,9(2):250-256
We characterize the maximalm-bounded extension of an arbitrary completely regular Hausdorff spaceX. The other principal results are:Theorem. LetX be a locally compact, σ-compact non-compact space with no more than 2ℵ0 zero-sets. Then assuming the continuum hypothesis,βX − X can be written as the union of 22ℵ0 pairwise disjoint, dense ℵ0-bounded subspaces.Theorem. LetX be a locally compact, σ-compact metric space without isolated points. Then both the set of remote points ofβX and the complement of this set inβX −X are ℵ0-bounded. 相似文献
9.
Maria Joiţa 《Central European Journal of Mathematics》2009,7(1):73-83
We show that two continuous inverse limit actions α and β of a locally compact group G on two pro-C
*-algebras A and B are stably outer conjugate if and only if there is a full Hilbert A-module E and a continuous action u of G on E such that E and E
*(the dual module of E) are countably generated in M(E)(the multiplier module of E), respectively M(E
*) and the pair (E, u) implements a strong Morita equivalence between α and β. This is a generalization of a result of F. Combes [Proc. London
Math. Soc. 49(1984), 289–306].
相似文献
10.
LetK be a compact Hausdorff space, and letT be an irreducible Markov operator onC(K). We show that ifgεC(K) satisfies sup
N
‖Σ
j
=0N
T
j
g‖<∞, then (and only then) there existsfεC(K) with (I − T)f=g. Generalizing the result to irreducible Markov operator representations of certain semi-groups, we obtain that bounded cocycles
are (continuous) coboundaries. For minimal semi-group actions inC(K), no restriction on the semi-group is needed. 相似文献
11.
LetG be a finite group, andS a subset ofG \ |1| withS =S
−1. We useX = Cay(G,S) to denote the Cayley graph ofG with respect toS. We callS a Cl-subset ofG, if for any isomorphism Cay(G,S) ≈ Cay(G,T) there is an α∈ Aut(G) such thatS
α =T. Assume that m is a positive integer.G is called anm-Cl-group if every subsetS ofG withS =S
−1 and | S | ≤m is Cl. In this paper we prove that the alternating groupA
5 is a 4-Cl-group, which was a conjecture posed by Li and Praeger. 相似文献
12.
Suzana Mendes-Gonçalves Robert P. Sullivan 《Central European Journal of Mathematics》2010,8(6):1120-1131
Suppose σ is an equivalence on a set X and let E(X, σ) denote the semigroup (under composition) of all α: X → X such that σ ⊆ α ∘ α
−1. Here we characterise Green’s relations and ideals in E(X, σ). This is analogous to recent work by Sullivan on K(V, W), the semigroup (under composition) of all linear transformations β of a vector space V such that W ⊆ ker β, where W is a fixed subspace of V. 相似文献
13.
Michael Talagrand 《Israel Journal of Mathematics》1981,40(3-4):324-330
Letτ be a cardinal with cf(τ)>ℵ0. Then a Banach spaceE contains a subspace isomorphic tol
l(τ) if and only if [0,1]
r
is a continuous image of the unit ballE′1 ofE′, provided with the w*-topology. It follows that, for each cardinalκ, ifE′1 contains a copy ofβκ, thenE has a quotient isomorphic tol
∞(κ). In this situation we show thatE has even a quotientisometric tol
∞(κ).
相似文献
14.
MiaoLI QuanZHENG 《数学学报(英文版)》2004,20(5):821-828
Let T = (T(t))t≥0 be a bounded C-regularized semigroup generated by A on a Banach space X and R(C) be dense in X. We show that if there is a dense subspace Y of X such that for every x ∈ Y, σu(A, Cx), the set of all points λ ∈ iR to which (λ - A)^-1 Cx can not be extended holomorphically, is at most countable and σr(A) N iR = Ф, then T is stable. A stability result for the case of R(C) being non-dense is also given. Our results generalize the work on the stability of strongly continuous senfigroups. 相似文献
15.
Every relatively convex-compact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper
bound for the class of sets which are contained in a Banach disc is presented. If the topological dual E′ of a locally convex space E is the σ(E′,E)-closure of the union of countably many σ(E′,E)-relatively countably compacts sets, then every weakly (relatively) convex-compact set is weakly (relatively) compact. 相似文献
16.
Michael Ferrara 《Graphs and Combinatorics》2007,23(3):263-269
An integer sequence π is said to be graphic if it is the degree sequence of some simple graph G. In this case we say that G is a realization of π. Given a graph H, and a graphic sequence π we say that π is potentially H-graphic if there is some realization of π that contains H as a subgraph. We define σ(H,n) to be the minimum even integer such that every graphic sequence with sum at least σ(H,n) is potentially H-graphic. In this paper, we determine σ(H,n) for the graph H = Km1∪ Km2∪...∪ Kmk when n is a sufficiently large integer. This is accomplished by determining σ(Kj + kK2,n) where j and k are arbitrary positive integers, and considering the case where j = m − 2k and m = ∑ mi. 相似文献
17.
Aristide Sanini 《Rendiconti del Circolo Matematico di Palermo》1992,41(2):165-184
Letf: (M,g)→(N,g′) be a differentiable map between the riemannian manifoldsM andN, M being compact.K. Uhlenbeck pointed out a functionalE
m(f), related to the energy density off, that depends only on the conformal structure ofM.
In this paper we prove thatE
m(f) is stationary with respect to deformations of the riemannian metric ofM if and only iff is weakly conformal; in this casef provides a local minimum ofE
m. 相似文献
18.
F. Radó 《Israel Journal of Mathematics》1986,53(2):217-230
LetV be a metric vector space over a fieldK, dimV=n<∞, and let δ:V×V→K denote the corresponding distance function. Given a mappingσ:V→V such that δ(p,q) = 1⇒ δ(p
σ
,q
ς) = 1, ifn=2, indV=1 and charK≠2, 3, 5, thenσ is semilinear [5], [11]; ifn≧3,K=R and the distance function is either Euclidean or Minkowskian, thenσ is linear [3], [10]. Here the following is proved: IfK=GF(p
m
),p>2 andn≧3, thenσ is semilinear (up to a translation), providedn≠0, −1, −2 (modp) or the discriminant ofV satisfies a certain condition. The proof is based on the condition for a regular simplex to exist in a Galois space, which
may be of interest for its own sake. 相似文献
19.
Xiao Hong Fu 《数学学报(英文版)》2008,24(9):1475-1482
This paper considers the isometric extension problem concerning the mapping from the unit sphere S
1(E) of the normed space E into the unit sphere S
1(l
∞(Γ)). We find a condition under which an isometry from S
1(E) into S
1(l
∞(Γ)) can be linearly and isometrically extended to the whole space. Since l
∞(Γ) is universal with respect to isometry for normed spaces, isometric extension problems on a class of normed spaces are
solved. More precisely, if E and F are two normed spaces, and if V
0: S
1(E) → S
1(F) is a surjective isometry, where c
00(Γ) ⊆ F ⊆ l
∞(Γ), then V
0 can be extended to be an isometric operator defined on the whole space.
This work is supported by Natural Science Foundation of Guangdong Province, China (Grant No. 7300614) 相似文献
20.
Let E be a Banach lattice and L1(μ, E) be the space of E-valued Bochner integrable functions. Some order properties of L1(μ, E) are given. It is shown that Ls∞(μ, Z(E)) is the ideal centre of L1(μ, E) and it is obtained a Radon-Nikodym type theorem for B -integrable functions.
相似文献