共查询到20条相似文献,搜索用时 31 毫秒
1.
A. I. Khrabrov 《Journal of Mathematical Sciences》2005,129(4):4040-4048
We study classical, modified, and weak Banach-Mazur distances between sums of the spaces ℓ
n
p
. We calculate explicitly the classical and weak Banach-Mazur distances between sums of the spaces ℓ
n
p
and obtain bounds for ratios of distances between sums of the spaces ℓ
n
p
. Bibliography: 14 titles.__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 303, 2003, pp. 203–217. 相似文献
2.
Crystallographic classes on the minkowski space <Emphasis Type="Italic">R</Emphasis><Subscript>1,2</Subscript>. I. Theorems 总被引:1,自引:1,他引:0
R. M. Garipov 《Journal of Applied and Industrial Mathematics》2008,2(4):484-500
Some preliminary statements are proved necessary for calculating the crystallographic groups in six crystallographic classes in the 3-dimensional Minkowski space. Three classes are determined by the unimodular subgroups of the general Lorentz group and three more classes, by subgroups unimodular in a certain isotropic coordinate system. 相似文献
3.
Manfred Stelzer 《Mathematische Zeitschrift》2007,257(1):81-106
Relations between category and strong category are studied. The notion of a homotopy coalgebra of order r over the Ganea comonad
is introduced. It is shown that cat(X) =Cat(X) holds if a finite 1-connected complex X carries such a structure with r sufficiently large. 相似文献
4.
Y. Chiang 《Journal of Optimization Theory and Applications》2005,124(3):581-594
In this paper, we extend the (S)
+
1
condition to multivalued mappings in an ordered Hausdorff topological vector space and we derive some existence results for generalized vector variational inequalities associated with multivalued mappings satisfying the (S)
+
1
condition. We generalize also an existence result of Cubiotti and Yao for generalized variational inequalities of class (S)
+
1
to barreled normed spaces. As consequences, some existence results for vector variational inequalities are established.This work was partially supported by grants from the National Science Council of the Republic of China.
Communicated by H. P. Benson 相似文献
5.
Michael Schlosser 《The Ramanujan Journal》2008,17(3):305-319
By multidimensional matrix inversion, combined with an A
r
extension of Jackson’s 8
φ
7 summation formula by Milne, a new multivariable 8
φ
7 summation is derived. By a polynomial argument this 8
φ
7 summation is transformed to another multivariable 8
φ
7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6
φ
5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey’s very-well-poised
6
ψ
6 summation formula.
Partly supported by FWF Austrian Science Fund grants P17563-N13, and S9607 (the second is part of the Austrian National Research
Network “Analytic Combinatorics and Probabilistic Number Theory”). 相似文献
6.
M. Yu. Nikanorovo 《Journal of Mathematical Sciences》2009,161(3):443-453
The classification mentioned in the title is explicitly described. Bibliography: 9 titles. 相似文献
7.
Alain Plagne 《Israel Journal of Mathematics》2012,191(2):739-754
We continue our investigation on how small a sumset can be in a given abelian group. Here small takes into account not only the size of the sumset itself but also the number of elements which are repeated at least twice. A function λ G (r, s) computing the minimal size (in this sense) of the sum of two sets with respective cardinalities r and s is introduced. (Lower and upper) bounds are obtained, which coincide in most cases. While upper bounds are obtained by constructions, lower bounds follow in particular from the use of a recent theorem by Grynkiewicz. 相似文献
8.
In this article we construct a new simply connected symplectic 4-manifold with b2+=1 and c12=2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface
admits an exotic smooth structure. Mathematics Subject Classification (2000) 53D05, 14J26, 57R55, 57R57 相似文献
9.
Feng Rong 《Arkiv f?r Matematik》2010,48(2):361-370
In [Rong, F., Quasi-parabolic analytic transformations of C
n
, J. Math. Anal. Appl.
343 (2008), 99–109], we showed the existence of “parabolic curves” for certain quasi-parabolic analytic transformations of C
n
. Under some extra assumptions, we show the existence of “parabolic manifolds” for such transformations. 相似文献
10.
We show that for every odd integer p 1 there is an absolute positive
constantcp, so that the maximum cardinality of a set of vectors in Rn
such that the lp distance between
any pair is precisely 1, is at most cp
n log n.
We prove some upper bounds for other lp norms as well. 相似文献
11.
We construct bar-invariant ℤ[q
±1/2]-bases of the quantum cluster algebra of the valued quiver A
2(2), one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman,
A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004,
947–974. 相似文献
12.
For any module V over the two-dimensional non-abelian Lie algebra b and scalar α ∈ C, we define a class of weight modules F α (V) with zero central charge over the affine Lie algebra A 1 (1) . These weight modules have infinitedimensional weight spaces if and only if V is infinite dimensional. In this paper, we will determine necessary and sufficient conditions for these modules F α(V) to be irreducible. In this way, we obtain a lot of irreducible weight A 1 (1) -modules with infinite-dimensional weight spaces. 相似文献
13.
Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play
a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with A
0 = A
1
A
1 and dim A
1 = 2 are of type N and give a class of Novikov superalgebras of type S with A
0 = A
1
A
1. 相似文献
14.
Jeffrey D. Streets 《Journal of Geometric Analysis》2008,18(1):249-271
We study the gradient flow of the Riemannian functional ℱ(g):=∫
M
|Rm|2. This flow corresponds to a fourth-order degenerate parabolic equation for a Riemannian metric. We prove that the degeneracies
may be accounted for entirely by diffeomorphism flow, and hence we show short-time existence using the DeTurck method. We
prove L
2 derivative estimates of Bernstein-Bando-Shi type and use these to give a basic obstruction to long time existence and prove
a compactness theorem.
相似文献
15.
N. V. Parfinovych 《Ukrainian Mathematical Journal》2005,57(10):1652-1662
We determine the exact order of relative widths of classes W
1
r
of periodic functions in the space L
1 as n → ∞ under restrictions on higher derivatives of approximating functions.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 10, pp. 1409–1417, October, 2005. 相似文献
16.
We prove Lp estimates (Theorem 1.2) for the biest, a trilinear multiplier operator with singular symbol. The methods used are based on the treatment of the Walsh analogue of the biest in the prequel [13] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency. 相似文献
17.
Using elementary graded automorphisms of polytopal algebras (essentially the coordinate rings of projective toric varieties)
polyhedral versions of the group of elementary matrices and the Steinberg and Milnor groups are defined. They coincide with
the usual K-theoretic groups in the special case when the polytope is a unit simplex and can be thought of as compact/polytopal substitutes
for the tame automorphism groups of polynomial algebras. Relative to the classical case, many new aspects have to be taken
into account. We describe these groups explicitly when the underlying polytope is 2-dimensional. Already this low-dimensional
case provides interesting classes of groups.
Received: 13 December 2001 / Revised version: 24 June 2002
The second author was supported by the Deutsche Forschungsgemeinschaft, INTAS grant 99-00817 and TMR grant ERB FMRX CT-97-0107
Mathematics Subject Classification (2000): 14L27, 14M25, 19C09, 52B20 相似文献
18.
We show that for each positive integerk there is ak×k matrixB with ±1 entries such that puttingE to be the span of the rows of thek×2k matrix [√kI
k,B], thenE,E
⊥ is a Kashin splitting: TheL
1
2k
and theL
2
2k
are universally equivalent on bothE andE
⊥. Moreover, the probability that a random ±1 matrix satisfies the above is exponentially close to 1.
Supported by the Israel Science Foundation. 相似文献
19.
Richard A.Shore 《中国科学A辑(英文版)》2004,47(6):950-956
Jockusch, Li and Yang showed that the Lown and Low1 r.e. degrees are not elementarily equivalent for n > 1. We answer a question they raise by using the results of Nies, Shore and Slaman to show that the Lown and Lowm r.e. degrees are not elementarily equivalent for n > m > 1. 相似文献
20.
B. I. Peleshenko 《Ukrainian Mathematical Journal》2005,57(11):1741-1762
We prove theorems on interpolation of quasilinear operators of weak type (ϕ0, ψ0, ϕ0, ψ1) in Lorentz spaces. The operators under study are analogs of the Calderón operator and the Benett operator for concave and
convex functions ϕ0(t), ψ0(t), ϕ1(t), and ψ1(t).
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1490–1507, November, 2005. 相似文献