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1.
Suppose π1(E, F) is the space of all absolutely 1-summing operators between two Banach spacesE andF. We show that ifF has a copy of c0, then π1 (E, F) will have a copy of c0, and under some conditions ifE has a copy of ℓ1 then π1 (E, F) would have a complemented copy of ℓ1. 相似文献
2.
I. I. Shneiberg 《Functional Analysis and Its Applications》2008,42(1):78-80
We give the definition of the full potential with descendants, which is a genus expansion of the Barannikov-Kontsevich solution of the WDVV equation. This potential satisfies the Getzler relation, which comes from the geometry of the moduli space of curves Open image in new window . 相似文献
3.
General theorems on the algebraic independence over ℚ
p
of the values of analytic functions at points from ℂ
p
and their applications to particular examples are presented in the paper. 相似文献
4.
Crossing numbers of graphs are in general very difficult to compute. There are several known exact results on the crossing
number of the Cartesian products of paths, cycles or stars with small graphs. In this paper we study cr(Km □ Pn), the crossing number of the Cartesian product Km □ Pn. We prove that
for m ≥ 3,n ≥ 1 and cr(Km □ Pn)≥ (n − 1)cr(Km+2 − e) + 2cr(Km+1). For m≤ 5, according to Klešč, Jendrol and Ščerbová, the equality holds. In this paper, we also prove that the equality holds for
m = 6, i.e., cr(K6 □ Pn) = 15n + 3.
Research supported by NFSC (60373096, 60573022). 相似文献
5.
Transformations for a bilateral 2
ψ
2-series are investigated by means of Abel’s lemma on summation by parts. Two q-extensions of Dougall’s classical identity for bilateral 2H2-sum are established. As by-products, the Rogers–Fine identity is recovered and a new proof is presented for Bailey’s identity
of bilateral well-poised 6
ψ
6-series. 相似文献
6.
The minimum number of total independent partition sets of V ∪ E of graph G(V,E) is called the total chromatic number of G denoted by χ
t
(G). If the difference of the numbers of any two total independent partition sets of V ∪ E is no more than one, then the minimum number of total independent partition sets of V ∪ E is called the equitable total chromatic number of G, denoted by χ
et
(G). In this paper, we obtain the equitable total chromatic number of the join graph of fan and wheel with the same order.
Supported by the National Natural Science Foundation of China (No. 10771091). 相似文献
7.
In this paper, we show that, for each p 〉 1, there are continuum many Borel equivalence relations between Rω/l1 and Rω/p ordered by ≤B which are pairwise Borel incomparable. 相似文献
8.
Interrelation between full moduli of smoothness of natural orders in the metrics L1 and L∞ is considered in the paper. 相似文献
9.
In this paper, the structure of the critical group of the graph K
m
× C
n
is determined, where m, n ≥ 3. 相似文献
10.
Interrelations between mixed fractional moduli of smoothness considered in the metrics of L p and L ∞ are studied on the paper. 相似文献
11.
Let an algebraic curve f have a singular point of type Aμ or Dμ. Let
be the curve obtained by smoothing the singular point of f. In this paper, local maximal meanders appearing under an M-smoothing
in a neighborhood of the singular point are studied. A local maximal meander means that the number of real points of the intersection
of
with a coordinate axis in the neighborhood is maximal and the points belong to one of the components of
. An M-smoothing means that the number of components of
which appear in the neighborhood under the smoothing is also maximal. Bibliography: 9 titles.
__________
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 299, 2003, pp. 193–217. 相似文献
12.
We construct a class of modules for the twisted multi-loop algebra of type A 1×A 1 by applying Wakimoto free bosonic realization. We also discuss the structures and the irreducibility of the Fock space. 相似文献
13.
Joachim Breitner 《Israel Journal of Mathematics》2012,191(2):545-557
For a representative class of subgroups of F r , the image of their stabilizer subgroup under the action of Aut(F r ) in GL r (ℤ) is calculated. 相似文献
14.
We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the
classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set H
ω in the case where the sequences ψ that generate the classes tend to zero not faster than a power function. 相似文献
15.
Akira Hiraki 《Graphs and Combinatorics》2009,25(1):65-79
Let Γ be a distance-regular graph of diameter d ≥ 3 with c
2 > 1. Let m be an integer with 1 ≤ m ≤ d − 1. We consider the following conditions:
In [12] we have shown that the condition (SC)
m
holds if and only if both of the conditions (BB)
i
and (CA)
i
hold for i = 1,...,m. In this paper we show that if a
1 = 0 < a
2 and the condition (BB)
i
holds for i = 1,...,m, then the condition (CA)
i
holds for i = 1,...,m. In particular, the condition (SC)
m
holds. Applying this result we prove that a distance-regular graph with classical parameters (d, b, α, β) such that c
2 > 1 and a
1 = 0 < a
2 satisfies the condition (SC)
i
for i = 1,...,d − 1. In particular, either (b, α, β) = (− 2, −3, −1 − (−2)
d
) or holds. 相似文献
(SC) m : For any pair of vertices at distance m there exists a strongly closed subgraph of diameter m containing them. | |
(BB) m : Let (x, y, z) be a triple of vertices with ∂Γ(x, y) = 1 and ∂Γ(x, z) = ∂Γ(y, z) = m. Then B(x, z) = B(y, z). | |
(CA) m : Let (x, y, z) be a triple of vertices with and |C(z, x) ∩ C(z, y)| ≥ 2. Then C(x, z) ∪ A(x, z) = C(y, z) ∪ A(y, z). |
16.
Yu. K. Dem’yanovich 《Journal of Mathematical Sciences》2009,156(4):577-588
A general approach to the construction of asymptotics of coordinate (not necessarily polynomial) B
φ
-splines of an arbitrary order is proposed. Asymptotic representations for Lagrange type third order B
φ
-splines are obtained. Bibliography: 4 titles.
Translated from Problemy Matematicheskogo Analiza, No. 38, December 2008, pp. 11–21. 相似文献
17.
This paper is concerned with the study of the set P
-1(0), when P varies over all orthogonally additive polynomials on
p
and L
p
spaces. We apply our results to obtain characterizations of the weak-polynomial topologies associated to this class of polynomials. 相似文献
18.
Three new summation formulas for 6
ψ
6 bilateral basic hypergeometric series attached to root systems are presented. Remarkably, two of these formulae, labelled
by the A2n−1 and A2n
root systems, can be reduced to multiple 6
φ
5 sums generalising the well-known van Diejen sum. This latter sum serves as the weight-function normalisation for the BC
n
q-Racah polynomials of van Diejen and Stokman. Two 8
φ
7-level extensions of the multiple 6
φ
5 sums, as well as their elliptic analogues, are conjectured. This opens up the prospect of constructing novel A-type extensions
of the Koornwinder–Macdonald theory. 相似文献
19.
The near-group rings are an important class of fusion rings in the theory of tensor categories. In this paper, the irreducible ?+-modules over the near-group fusion ring K(?3, 3) are explicitly classified. It turns out that there are only four inequivalent irreducible ?+-modules of rank 2 and two inequivalent irreducible ?+-modules of rank 4 over K(?3, 3). 相似文献
20.
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs (constructed in [LPS]). They are obtained as quotients of the buildings of typeà d?1 associated with PGL d (F) whereF is a local field of positive characteristic. 相似文献