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1.
Sh. A. Ayupov 《Functional Analysis and Its Applications》2004,38(4):302-304
Let R be a real AW
*-algebra, and suppose that its complexification M = R + iR is also a (complex) AW
*-algebra. We prove that R is of type I if and only if so is M.Translated from Funktsionalnyi Analiz i Ego Prilozheniya, Vol. 38, No. 4, pp. 79–81, 2004Original Russian Text Copyright © by Sh. A. Ayupov 相似文献
2.
Aldo Portela 《Bulletin of the Brazilian Mathematical Society》2007,38(4):623-633
Although every Cantor subset of the circle (S1) is the minimal set of some homeomorphism of S1, not every such set is minimal for a C1 diffeomorphism of S1. In this work, we construct new examples of Cantor sets in S1 that are not minimal for any C1-diffeomorphim of S1. 相似文献
3.
In this paper, we get W
1,p
(R
n
)-boundedness for tangential maximal function and nontangential maximal function, which improves J.Kinnunen, P.Lindqvist and
Tananka’s results.
Supported by the key Academic Discipline of Zhejiang Province of China under Grant No.2005 and the Zhejiang Provincial Natural
Science Foundation of China. 相似文献
4.
Aldo Portela 《Bulletin of the Brazilian Mathematical Society》2009,40(1):53-75
It is known that not every Cantor set of S
1 is C
1-minimal. In this work we prove that every member of a subfamily of what we here call regular interval Cantor set is not C
1-minimal. We also prove that no member of a class of Cantor sets that includes this subfamily is C
1+∈-minimal, for any ∈ > 0.
Partially supported by CNPq-Brasil and PEDECIBA-Uruguay. 相似文献
5.
Piotr Kalemba Szymon Plewik Anna Wojciechowska 《Central European Journal of Mathematics》2008,6(2):218-227
The σ-ideal (v
0) is associated with the Silver forcing, see [5]. Also, it constitutes the family of all completely doughnut null sets, see
[9]. We introduce segment topologies to state some resemblances of (v
0) to the family of Ramsey null sets. To describe add(v
0) we adopt a proof of Base Matrix Lemma. Consistent results are stated, too. Halbeisen’s conjecture cov(v
0) = add(v
0) is confirmed under the hypothesis t = min{cf(c), r}. The hypothesis cov(v
0) = ω
1 implies that (v
0) has the ideal type (c, ω
1, c).
相似文献
6.
J. C. Gómez-Larrañaga F. González-Acuña Wolfgang Heil 《Mathematische Zeitschrift》2008,259(2):419-432
A closed topological n-manifold M
n
is of S
1-category 2 if it can be covered by two open subsets W
1,W
2 such that the inclusions W
i
→ M
n
factor homotopically through maps W
i
→ S
1 → M
n
. We show that the fundamental group of such an n-manifold is a cyclic group or a free product of two cyclic groups with nontrivial amalgamation. In particular, if n = 3, the fundamental group is cyclic.
相似文献
7.
L
p
approximation capability of radial basis function (RBF) neural networks is investigated. If g: R
+1 → R
1 and ∈ L
loc
p
(R
n
) with 1 ≤ p < ∞, then the RBF neural networks with g as the activation function can approximate any given function in L
p
(K) with any accuracy for any compact set K in R
n
, if and only if g(x) is not an even polynomial.
Partly supported by the National Natural Science Foundation of China (10471017) 相似文献
8.
<Emphasis Type="Italic">L</Emphasis><Superscript>2</Superscript>-invariants of Riemannian foliations
Luis Sanguiao 《Annals of Global Analysis and Geometry》2008,33(3):271-292
For a Riemannian foliation on a closed manifold M, we define L
2-spectral sequence Betti numbers and spectral sequence Novikov–Shubin invariants. The spectral sequence of the lift of to the universal covering of M is used in the definitions. These invariants are natural extensions of the L
2-Betti numbers and the Novikov–Shubin invariants of differentiable manifolds. It is shown that these numbers are invariant
by foliated homotopy equivalences, and they are computed for several examples.
相似文献
9.
Maria Joiţa 《Czechoslovak Mathematical Journal》2004,54(3):727-737
In this paper the tensor products of Hilbert modules over locally C
*-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert C
*-modules are also valid in the context of Hilbert modules over locally C
*-algebras. 相似文献
10.
In this paper, geometric interpolation by G
1 cubic spline is studied. A wide class of sufficient conditions that admit a G
1 cubic spline interpolant is determined. In particular, convex data as well as data with inflection points are included. The
existence requirements are based upon geometric properties of data entirely, and can be easily verified in advance. The algorithm
that carries out the verification is added.
AMS subject classification (2000) 65D05, 65D07, 65D17 相似文献
11.
Xiao Ming Du 《数学学报(英文版)》2009,25(8):1243-1252
In this paper we determined all of the possible self-mapping degrees of the manifolds with S3-geometry, which are supposed to be all 3-manifolds with finite fundamental groups. This is a part of a project to determine all possible self-mapping degrees of all closed orientable 3-manifold in Thurston's picture. 相似文献
12.
Choonkil Park 《Acta Appl Math》2008,102(1):71-85
This paper is a survey on the Hyers–Ulam–Rassias stability of the following Cauchy–Jensen functional equation in C
*-algebras:
The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem (Rassias in Proc. Am. Math.
Soc. 72:297–300, [1978]).
This work was supported by the research fund of Hanyang University (HY-2007-S). 相似文献
13.
We derive fast recursions to compute the probability that k or more consecutive customer losses take place during a busy period of a queue, the so called k-CCL probability, for regular and oscillating M
X
/G/1/n systems. 相似文献
14.
We classify graph C
*-algebras, namely, Cuntz-Krieger algebras associated to the Bass-Hashimoto edge incidence operator of a finite graph, up to
strict isomorphism. This is done by a purely graph theoretical calculation of the K-theory of the C
*-algebras and the method also provides an independent proof of the classification up to Morita equivalence and stable equivalence
of such algebras, without using the boundary operator algebra. A direct relation is given between the K
1-group of the algebra and the cycle space of the graph.
We thank Jakub Byszewski for his input in Sect. 2.8. The position of the unit in K
0(
Ч) was guessed based on some example calculations by Jannis Visser in his SCI 291 Science Laboratory at Utrecht University
College. 相似文献
15.
Pierre Pansu 《Potential Analysis》2007,27(2):151-165
The L
p
-cohomology in degree 1 of Riemannian homogeneous spaces is computed. It turns out that reduced cohomology does not vanish
exactly for spaces quasiisometric to negatively curved homogeneous spaces.
相似文献
16.
In this paper we obtain local L
p
estimates for the parabolic polyharmonic equations by a straightforward approach.
Yao was supported by the Innovation Foundation of Shanghai University (Grant No. A10-0101-08-905), Shanghai Leading Academic
Discipline Project (Grant No. J50101) and Key Disciplines of Shanghai Municipality (Grant No. S30104). Zhou was supported
by the National Basic Research Program of China (Grant No. 2006CB705700), National Natural Science Foundation of China (Grant
No. 60532080), and the Key Project of Chinese Ministry of Education (Grant No. 306017) 相似文献
17.
In this paper we use the real differential geometric definition of a metric (a unimodular oriented metric) tt*-bundle of Cortés and the author (Topological-anti-topological fusion equations, pluriharmonic maps and special Kähler manifolds) to define a map Φ from the space of metric (unimodular oriented metric) tt*-bundles of rank r over a complex manifold M to the space of pluriharmonic maps from M to {GL}(r)/O(p,q) (respectively {SL}(r)/SO(p,q)), where (p,q) is the signature of the metric. In the sequel the image of the map Φ is characterized. It follows, that in signature (r,0) the image of Φ is the whole space of pluriharmonic maps. This generalizes a result of Dubrovin (Comm. Math. Phys. 152 (1992; S539–S564). 相似文献
18.
Stochastic partial differential equations of divergence form are considered in C1 domains. Existence and uniqueness results are given in a Sobolev space with weights allowing the derivatives of the solutions to blow up near the boundary.Mathematics Subject Classification (2000): 60H15, 35R60 相似文献
19.
An existence result for a strongly non-linear elliptic equation with natural growth condition on the non-linearity and L1-data is proved. Mathematics Subject Classification (2000) 35J25, 35J60 相似文献
20.
DaXU 《数学学报(英文版)》2003,19(1):127-140
The uniform L^2 stability and convergence properties for the time discretization of an evolution equation with a memory term are studied.The methods are based on the second-order backward difference methods.The memory term is approximated by the second-order convolution quadrature and interpolant quadrature. 相似文献