共查询到20条相似文献,搜索用时 31 毫秒
1.
Amitai Regev 《Israel Journal of Mathematics》1977,26(2):105-125
LetK = To(s3), {cn} its codimensions, {ln} its colengths and {Χn} its sequence of co-characters. For 9≦n, cn =2n - 1 or cn =n(n + l)/2- 1, 3≦ln ≦4 and χn =[n] + 2[n-1,1] + α[n-2,2] + β[22,1n?4] where α + β≦l. 相似文献
2.
《Quaestiones Mathematicae》2013,36(2):89-107
ABSTRACT In this note we present a characterization of the band of kernel operators in the abstract setting of Riesz spaces. Under the assumptions that E is an Archimedean Riesz space and F a Dedekind complete Riesz space separated by its ex= tended order continuo88 dual, we obtain a characterization of the band (Eoo ? F)dd in terms of (sequentially) star or= der continuous operators. 相似文献
3.
For a Riesz operator T on a reflexive Banach space X with nonzero eigenvalues
denote by E(λi; T) the eigen-projection corresponding to an eigenvalue λi. In this paper we will show that if the operator sequence
is uniformly bounded, then the Riesz operator T can be decomposed into the sum of two operators Tp and Tr: T = Tp + Tr, where Tp is the weak limit of Tn and Tr is quasi-nilpotent. The result is used to obtain an expansion of a Riesz semigroup T(t) for t ≥ τ. As an application, we consider the solution of transport equation on a bounded convex body. 相似文献
4.
Boris Pittel 《Random Structures and Algorithms》1990,1(3):311-342
For each of the two models of a sparse random graph on n vertices, G(n, # of edges = cn/2) and G(n, Prob (edge) = c/n) define tn(k) as the total number of tree components of size k (1 ≤ k ≤ n). the random sequence {[tn(k) - nh(k)]n?1/2} is shown to be Gaussian in the limit n →∞, with h(k) = kk?2ck?1e?kc/k! and covariance function being dependent upon the model. This general result implies, in particular, that, for c> 1, the size of the giant component is asymptotically Gaussian, with mean nθ(c) and variance n(1 ? T)?2(1 ? 2Tθ)θ(1 ? θ) for the first model and n(1 ? T)?2θ(1 ? θ) for the second model. Here Te?T = ce?c, T<1, and θ = 1 ? T/c. A close technique allows us to prove that, for c < 1, the independence number of G(n, p = c/n) is asymptotically Gaussian with mean nc?1(β + β2/2) and variance n[c?1(β + β2/2) ?c?2(c + 1)β2], where βeβ = c. It is also proven that almost surely the giant component consists of a giant two-connected core of size about n(1 ? T)β and a “mantle” of trees, and possibly few small unicyclic graphs, each sprouting from its own vertex of the core. 相似文献
5.
Der-Shin Chang Yuang-Chin Chiang 《Annals of the Institute of Statistical Mathematics》1980,32(1):275-281
Consider a realization of the process
on the intervalT=[0,1] for functionsf
1(t),f
2(t),...,f
n
(t) inH(R), the reproducing kernel Hilbert space with reproducing kernelR(s,t) onT×T, whereR(s,t)=E[ξ(s)ξt)] is assumed to be continuous and known. Problems of the selection of functions {f
k
(t)}
k=1
n
to be ϕ-optimal design are given, and an unified approach to the solutions ofD-,A-,E- andD
s-optimal design problems are discussed. 相似文献
6.
The vector space £b(E) of all order bounded linear operators on a Dedekind complete Riesz space E is both a Riesz space and an algebra. This note investigates the degree of compatibility between the algebraic and lattice structures of £b(E). Two of the main results are the following:
- An operator on a Banach lattice with an order continuous norm factors through the lattice operations if and only if it is an interval preserving Riesz homotnorphism.
- A Dedekind complete Banach lattice E has an order continuous norm if and only if 0≤Tn ↑ T in £b(E) implies T n 2 ↑ T2.
7.
Richard A Games 《Journal of Combinatorial Theory, Series A》1983,34(2):248-251
If s = (s0, s1,…, s2n?1) is a binary de Bruijn sequence of span n, then it has been shown that the least length of a linear recursion that generates s, called the complexity of s and denoted by c(s), is bounded for n ? 3 by 2n ? 1 + n ? c(s) ? 2n ?1. A numerical study of the allowable values of c(s) for 3 ? n ? 6 found that all values in this range occurred except for 2n?1 + n + 1. It is proven in this note that there are no de Bruijn sequences of complexity 2n?1 + n + 1 for all n ? 3. 相似文献
8.
Stefan Geiss 《Monatshefte für Mathematik》1990,110(3-4):217-230
We considers-number sequences {s n (T)} n=1 ∞ of linear and continuous operatorsT on Banach spaces and prove product formulas for the operator ideals ? p,u (s) . Furthermore, we investigate the relationship between the eigenvalues of a Riesz operator and its Hilbert numbers. 相似文献
9.
《Quaestiones Mathematicae》2013,36(1-4):301-309
Abstract Let R be a noetherian ring, and denote the full subcategories of R-modules L such that Exti(E,L)=0 for all injective R-modules E for 1?i?n and O?i?n by Cn, and C′n respectively. Then LεCn, if and only if every injective resolution of L is an injective resolvent of the nth cosyzygy. In this case, L is not injective if and only if its injective dimension is greater than n. If LεC′n and idN?n. then Hom(N,L)=0 for all R-modules N. As an application, let Kn be the nth syzygy of an injective resolvent of the nth cosyzygy of an R-module N, then there exists a homomorphism φ:N → K such that ((φ,iN), Kn ? E(N)) and (φ,Kn) are preenvelopes of N for Cs and C′s respectively, for s≥n. If the global dimension of R is at most 2, then C′1 is reflective in the category of R-modules. 相似文献
10.
Marilyn Breen 《Israel Journal of Mathematics》1973,15(4):367-374
LetS be a closed subset of a Hausdorff linear topological space,S having no isolated points, and letc s (m) denote the largest integern for whichS is (m,n)-convex. Ifc s (k)=0 andc s (k+1)=1, then $$ c_s \left( m \right) = \sum\limits_{i = 1}^k {\left( {\begin{array}{*{20}c} {\left[ {\frac{{m + k - i}} {k}} \right]} \\ 2 \\ \end{array} } \right)} $$ . Moreover, ifT is a minimalm subset ofS, the combinatorial structure ofT is revealed. 相似文献
11.
A general Riesz merotopic space (X, ν) determines a not necessarily topological closure operator cν on X. The space (X, ν) is said to be complete if every cluster on (X, ν) is contained in an adherence grill on (X, cν). We discuss a method of obtaining a large class of completions of a given Riesz merotopic space with induced T1 closure space. As special cases we get the simple completion, which induces a simple closure space extension, and the strict completion, which induces a strict closure space extension. We show that the category of complete separated T1 Riesz merotopic spaces is epireflective in the category of separated T1 Riesz merotopic spaces, the reflection of an object being the simple completion. Similarly the category of complete clan-covered quasi-regular T1 Riesz merotopic spaces is epireflective in the category of clan-covered quasi-regular T1 Riesz merotopic spaces, the reflection of an object being the strict completion. 相似文献
12.
《Quaestiones Mathematicae》2013,36(4):343-352
Abstract Let (T,μ) be a complete measurable space, u a Suslin space and B(u) the Borel σ-algebra of u. The projection theorem, see for example [3], p. 75, states that if the set A belongs to the σ-algebra generated by the class μ x B(U), then its projection PT(A) belongs to the σ-algebra μ. The aim of this note is to show that the projection theorem fails if (T,μ) is incomplete. 相似文献
13.
Jennifer Seberry Wallis 《Linear and Multilinear Algebra》2013,61(3):197-207
Recent advances in the construction of Hadamard matrices have depeaded on the existence of Baumert-Hall arrays and four (1, ?1) matrices A B C Dof order m which are of Williamson type, that is they pair-wise satisfy i) MNT = NMT , ∈ {A B C D} and ii) AAT + BBT + CCT + DDT = 4mIm . It is shown that Williamson type matrices exist for the orders m = s(4 ? 1)m = s(4s + 3) for s∈ {1, 3, 5, …, 25} and also for m = 93. This gives Williamson matrices for several new orders including 33, 95,189. These results mean there are Hadamard matrices of order i) 4s(4s ?1)t, 20s(4s ? 1)t,s ∈ {1, 3, 5, …, 25}; ii) 4s(4:s + 3)t, 20s(4s + 3)t s ∈ {1, 3, 5, …, 25}; iii) 4.93t, 20.93t for t ∈ {1, 3, 5, … , 61} ∪ {1 + 2 a 10 b 26 c a b c nonnegative integers}, which are new infinite families. Also, it is shown by considering eight-Williamson-type matrices, that there exist Hadamard matrices of order 4(p + 1)(2p + l)r and 4(p + l)(2p + 5)r when p ≡ 1 (mod 4) is a prime power, 8ris the order of a Plotkin array, and, in the second case 2p + 6 is the order of a symmetric Hadamard matrix. These classes are new. 相似文献
14.
Zhou Fujun Cui Shangbin 《高校应用数学学报(英文版)》2005,20(4):441-447
The solvability of the fifth-order nonlinear dispersive equation δtu+au (δxu)^2+βδx^3u+γδx^5u = 0 is studied. By using the approach of Kenig, Ponce and Vega and some Strichartz estimates for the corresponding linear problem,it is proved that if the initial function u0 belongs to H^5(R) and s〉1/4,then the Cauchy problem has a unique solution in C([-T,T],H^5(R)) for some T〉0. 相似文献
15.
For the Dirichlet series F(s) = ?n = 1¥ anexp{ sln } F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}\exp \left\{ {s{\lambda_n}} \right\}} with abscissa of absolute convergence σ
a
=0, we establish conditions for (λ
n
) and (a
n
) under which lnM( s, F ) = TR( 1 + o(1) )exp{ rR