共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper we describe the ∨-semilatticed inverse semigroups generated by a finite group G. We do this by first constructing the free ∨-semilatticed inverse semigroup ?(G) on the group G. Each ∨-semilatticed inverse semigroup generated by G is a quotient of ?(G) by a ∨-congruence. We then describe these congruences and their corresponding quotients explicitly in terms of families of subgroups of G. 相似文献
2.
3.
A semigroup is called type-E if the band of its idempotents can be expressed as a direct product of a rectangular band and an ω-chain. For brevity, we call an IC *-bisimple quasi-adequate semigroup of type-E a q
*-bisimple IC semigroup of type-E. In this paper, we characterize q
*-bisimple semigroups by using some kind of generalized Bruck-Reilly extensions. As a consequence, some results concerning
*-bisimple type-A
ω-semigroups given by Asibong-Ibe (Semigroup Forum 31:99–117, 1985) are generalized. 相似文献
4.
Tai Shan YI Li Hong HUANG 《数学学报(英文版)》2007,23(8):1375-1384
The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a constant vector as t→∞. Our results improve and extend some corresponding ones already known. 相似文献
5.
M. V. Medvedeva 《Mathematical Notes》1998,64(5):616-621
In this paper we study functions belonging to the classesV
ε and ΛBV, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding
of the classesH
ω in the classesV
ϕ and ABV are obtained.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 713–719, November, 1998.
This research was supported by the program “Leading Scientific Schools” under grant No. 96/97-15-96073. 相似文献
6.
V. G. Safonov 《Siberian Mathematical Journal》2007,48(1):150-155
We prove that the finite length condition for the lattice of τ-closed totally saturated subformations of a τ-closed totally saturated formation is equivalent to the finite length condition for this lattice, and it is also equivalent for the formation to be soluble and one-generated. 相似文献
7.
BingJunYU MangXU 《数学学报(英文版)》2005,21(2):289-302
In this paper, for an arbitrary regular biordered set E, by using biorder-isomorphisms between the w-ideals of E, we construct a fundamental regular semigroup WE called NH-semigroup of E, whose idempotent biordered set is isomorphic to E. We prove further that WE can be used to give a new representation of general regular semigroups in the sense that, for any regular semigroup S with the idempotent biordered set isomorphic to E, there exists a homomorphism from S to WE whose kernel is the greatest idempotent-separating congruence on S and the image is a full symmetric subsemigroup of WE. Moreover, when E is a biordered set of a semilattice Eo, WE is isomorphic to the Munn-semigroup TEo; and when E is the biordered set of a band B, WE is isomorphic to the Hall-semigroup WB. 相似文献
8.
Surjit Singh Khurana 《Mathematica Slovaca》2008,58(3):309-314
X
1 and X
2 are completely regular Hausdorff spaces, E
1, E
2 and F are Dedekind complete Banach lattices, 〈·,·〉: E
1 × E
2 → F is a bilinear mapping, and μ
1 and μ
2 are, respectively, E
1 and E
2 valued positive, countably additive Baire or Borel measures (countable additivity relative to order convergence) on X
1 and X
2. Under certain conditions the existence and uniqueness of the F-valued, positive, product measure is proved.
相似文献
9.
N. N. Kholshchevnikova 《Mathematical Notes》2000,67(5):657-664
The properties of families of subsets of topological spaces that make it possible to separate out the common core of the proofs
of theorems on unions of sets of uniqueness for series in various systems of functions are considered. As a consequence of
the results obtained, it is proved, in particular, that the countable union of closed sets of uniqueness for the trigonometric
series is a set of uniqueness for the Abel-Poisson summation method.
Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 778–787, May, 2000. 相似文献
10.
Serap BULUT Nihal YILMAZ OZGUR 《数学学报(英文版)》2005,21(3):667-672
In this paper, we give a new characterization of Mobius transformations. To do this, we extend the notion of Apollonius points of a triangle and of a pentagon, to the notion of Apollonius points of an arbitrary (2n-1)-gon. 相似文献
11.
D. V. Gorbachev 《Mathematical Notes》1997,61(4):430-439
For a functional on the classH
ω
(n)
,n≥3, we construct the extremal function on which the upper bound obtained by A. I. Stepanets is attained.
Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 519–529, April, 1997.
Translated by N. K. Kulman 相似文献
12.
Ferenc Móricz 《Acta Mathematica Hungarica》2008,120(4):355-366
We introduce the higher order Lipschitz classes Λ
r
(α) and λ
r
(α) of periodic functions by means of the rth order difference operator, where r = 1, 2, ..., and 0 < α ≦ r. We study the smoothness property of a function f with absolutely convergent Fourier series and give best possible sufficient conditions in terms of its Fourier coefficients
in order that f belongs to one of the above classes.
This research was supported by the Hungarian National Foundation for Scientific Research under Grant T 046 192. 相似文献
13.
We introduce the concept of a Jackson integral of type BC
1 which is a q-series permitting Weyl group symmetry. Using this, we give a simple proof of transformation formulas for a very-well-poised-balanced
2r
ψ
2r
hypergeometric series discovered by Sears and Slater.
This work was supported in part by Grant-in-Aid for Scientific Research (C) No. 17540034 from the Ministry of Education, Culture,
Sports, Science and Technology, Japan. 相似文献
14.
S. Norvidas 《Lithuanian Mathematical Journal》2007,47(4):470-483
For ϱ > 0, let
be the closed subspace of L
1(ℝ) consisting of functions ƒ having the Fourier transforms ƒ concentrated in [−ϱ, ϱ]. Let a > 0. In this paper, we consider the problem of maximal localization of the L
1 norm on [−a, a] of functions from B
ϱ
1
. More precisely, for a given a, we investigate the supremum of the quantity E
a
(ƒ) = ∫
−a
a
|ƒ(x)|dx over all ƒ from the unit ball of the space B
ϱ
1
.
__________
Translated from Lietuvos Matematikos Rinkinys, Vol. 47, No. 4, pp. 573–590, October–December, 2007. 相似文献
15.
16.
D. Dryanov 《Constructive Approximation》2009,30(1):137-153
Kolmogorov ε-entropy of a compact set in a metric space measures its metric massivity and thus replaces its dimension which is usually infinite. The notion quantifies the compactness property of sets in metric
spaces, and it is widely applied in pure and applied mathematics. The ε-entropy of a compact set is the most economic quantity of information that permits a recovery of elements of this set with
accuracy ε. In the present article we study the problem of asymptotic behavior of the ε-entropy for uniformly bounded classes of convex functions in L
p
-metric proposed by A.I. Shnirelman. The asymptotic of the Kolmogorov ε-entropy for the compact metric space of convex and uniformly bounded functions equipped with L
p
-metric is ε
−1/2, ε→0+.
相似文献
17.
A Banach space X is said to have the kp-approximation property (kp-AP) if for every Banach space Y, the space F(Y,X) of finite rank operators is dense in the space Kp(Y,X) of p-compact operators endowed with its natural ideal norm kp. In this paper we study this notion that has been previously treated by Sinha and Karn (2002) in [15]. As application, the kp-AP of dual Banach spaces is characterized via density of finite rank operators in the space of quasi p-nuclear operators for the p-summing norm. This allows to obtain a relation between the kp-AP and Saphar's approximation property. As another application, the kp-AP is characterized in terms of a trace condition. Finally, we relate the kp-AP to the (p,p)-approximation property introduced in Sinha and Karn (2002) [15] for subspaces of Lp(μ)-spaces. 相似文献
18.
Let X be an infinite-dimensional Banach space with weight τ. By Cld
AW
(X), we denote the hyperspace of nonempty closed sets in X with the Attouch—Wets topology. By Fin
AW
(X), Comp
AW
(X) and Bdd
AW
(X), we denote the subspaces of Cld
AW
(X) consisting of finite sets, compact sets and bounded closed sets, respectively. In this paper, it is proved that
Fin
AW
(X)≈Comp
AW
(X)≈ℓ2(τ)×ℓ2
f
ℓandℓBdd
AW
(X)≈ℓ2(2τ)×ℓ2
f
where ≈ means ‘is homeomorphic to’, ℓ2(τ) is the Hilbert space with weight τ (ℓ2(ℵ0)=ℓ2 the separable Hilbert space) and
ℓ2
f
={(x
i
)
iεN
εℓ2∣x
i
=0 except for finitely many iεN}. 相似文献
19.
In the framework of the Jacobi-weighted Besov spaces, we analyze the lower and upper bounds of errors in the h–p version of boundary element solutions on quasiuniform meshes for elliptic problems on polygons. Both lower bound and upper
bound are optimal in h and p, and they are of the same order. The optimal convergence of the h–p version of boundary element method with quasiuniform meshes is proved, which includes the optimal rates for h version with quasiuniform meshes and the p version with quasiuniform degrees as two special cases.
Dedicated to Professor Charles Micchelli on the occasion of his sixtieth birthday
Mathematics subject classification (2000) 65N38.
Benqi Guo: The work of this author was supported by NSERC of Canada under Grant OGP0046726 and was complete during visiting
Newton Institute for Mathematical Sciences, Cambridge University for participating in special program “Computational Challenges
in PDEs” in 2003.
Norbert Heuer: This author is supported by Fondecyt project No. 1010220 and by the FONDAP Program (Chile) on Numerical Analysis.
Current address: Mathematical Sciences, Brunel University, Uxbridge, U.K. 相似文献
20.
This paper is devoted to the analysis of a one-dimensional model for phase transition phenomena in thermoviscoelastic materials.
The corresponding parabolic-hyperbolic PDE system features a strongly nonlinear internal energy balance equation, governing the evolution of the absolute temperature ϑ, an evolution equation for the phase change parameter χ, including constraints on the phase variable, and a hyperbolic stress-strain relation for the displacement variable u. The main novelty of the model is that the equations for χ and u are coupled in such a way as to take into account the fact that the properties of the viscous and of the elastic parts influence
the phase transition phenomenon in different ways. However, this brings about an elliptic degeneracy in the equation for u which needs to be carefully handled.
First, we prove a global well-posedness result for the related initial-boundary value problem. Secondly, we address the long-time
behavior of the solutions in a simplified situation. We prove that the ω-limit set of the solution trajectories is nonempty, connected and compact in a suitable topology, and that its elements solve
the steady state system associated with the evolution problem.
Dedicated to Jürgen Sprekels on the occasion of his 60th birthday 相似文献