共查询到20条相似文献,搜索用时 15 毫秒
1.
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
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Thawat Changphas 《代数通讯》2013,41(4):1474-1479
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本文通过引入若干Lipschitz对偶概念,将非线性Lipschitz算子半群对偶映射到Lipschitz对偶空间中,使其转化为线性算子半群。该线性算子半群被证明是一个C_0~*-半群,因而是某个C_0-半群的对偶半群。从而证明了,在等距意义下,一个非线性Lipschitz算子半群可以延拓为一个C_0-半群。基于这些结论,本文给出了一系列全新的非线性Lipschitz算子半群的表示公式。 相似文献
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Helge Glöckner 《Semigroup Forum》2000,60(2):326-333
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Second-order elliptic operators realized under Dirichlet boundaryconditions in bounded domains are shown to generate stronglycontinuous semigroups in the topology of uniform convergence.The stochastic representation and integral representation withkernel for the strongly continuous semigroups are given. Furthermore,several useful formulae for the principal eigenvalue of second-orderelliptic operators are obtained. 相似文献
7.
Sean T. Vittadello 《Integral Equations and Operator Theory》2009,64(4):573-597
We study representations of numerical semigroups ∑ by isometries on Hilbert space with commuting range projections. Our main
theorem says that each such representation is unitarily equivalent to the direct sum of a representation by unitaries and
a finite number of multiples of particular concrete representations by isometries. We use our main theorem to identify the
faithful representations of the C*-algebra C*(∑) generated by a universal isometric representation with commuting range projections, and also prove a structure theorem
for C*(∑).
This research was supported by the Australian Research Council. 相似文献
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We introduce square diagrams that represent numerical semigroups and we obtain an injection from the set of numerical semigroups
into the set of Dyck paths. 相似文献
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We present sufficient conditions on a Gaussian Mehler semigroup on a reflexive Banach space Eto be induced by a single positive symmetric operator Q \in
, and give a counterexample which shows that this representation theorem is false in every nonreflexive Banach space with a Schauder basis. We also show that the transition semigroup of a Gaussian Mehler semigroup on a separable Banach space Eacts in a pointwise continuous way, uniformly on compact subsets of E, in the space BUC(E) of bounded uniformly continuous real-valued funtions on E. The transition semigroup is shown to be strongly continuous on BUC(E) if and only if S(t) = Ifor all t 0 相似文献
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We show that functions which are invariant for suitable product semigroups (one of which is a quasi-Poisson semigroup on a general state space) decompose into a singular eigen-function and a mixture of products of minimal eigen-functions. 相似文献
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关于算子半群的一个一般概率表示公式 总被引:1,自引:0,他引:1
In this paper we present a general probabilistic representation theorem for semigroups of operators which essentially comprises almost all known representation theorems of this kind. Especially, so-called first and second main theorems turn out to be special cases of the same general formula. The general theorem also permits the calculation of rates of convergence involving the second modulus of continuity. 相似文献
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具有逆断面的正则半群的同余的表示 总被引:2,自引:0,他引:2
具有道断面S°的正则半群可表示为有Saito's结构的半群W(I,S°,Λ,*,α,β).我们利用由I,S°和Λ上的同余构成的所谓同余聚抽象地表示这类半群上的同余,进而给出了这类半群的同态象的构造法. 相似文献
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A regular semigroup S with a special involution *, i.e., a unary operation on S satisfyingis called a regular *-semigroup[1]. It has been shown by Yamada[2] that a regular semigroup S isa regular *-semigroup if and only if it has a P-system, that is to say, there is a subset P of E(S)such that(2) As a generalization of regular semigroup and orthodox semigroup,Yamada[3] defined P-regular semigroup. Let S be a regularsemigroup. A subset P of E(S) is called a C-set in S if(c.2) (1) In this… 相似文献
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R.R. Zapatrin 《Semigroup Forum》1999,59(1):121-125
L the explicit construction of a 0-simple Rees matrix semigroup is suggested such that the lattice of left annihilators of this semigroup is isomorphic to L. 相似文献
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积分半群的表示及其在抽象积微分方程中的应用 总被引:2,自引:0,他引:2
高德智 《应用泛函分析学报》2002,4(4):333-342
讨论了积分半群与C0半群的关系,给出了用一组C0半群的积分序列的极限表示积分半群的表示公式.利用该公式证明了积分半群的其它表示式.最后用该公式给出了求解一类抽象积微分方程的新方法. 相似文献
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We obtain a priori bounds for the solutions of master Markov quantum equations in the Heisenberg and Schrödinger pictures. 相似文献
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The existence of the limit, in the uniform topology, of theaverages of a finite family of commuting strongly continuoussemigroups of bounded linear operators in a Banach space ischaracterised in terms of infinitesimal generators. 相似文献
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One consequence of the Perron–Frobenius Theorem on indecomposable positive matrices is that whenever an \(n\times n\) matrix A dominates a non-singular positive matrix, there is an integer k dividing n such that, after a permutation of basis, A is block-monomial with \(k\times k\) blocks. Furthermore, for suitably large exponents, the nonzero blocks of \(A^m\) are strictly positive. We present an extension of this result for indecomposable semigroups of positive matrices. 相似文献
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Abstract. In this paper we study the semigroups of matrices over a commutative semiring. We prove that a semigroup of matrices over
a tropical semiring satisfies a combinatorial property called weak permutation property . We consider an application of this result to the Burnside problem for groups. 相似文献