共查询到20条相似文献,搜索用时 31 毫秒
1.
Takao Satoh 《Journal of Pure and Applied Algebra》2006,204(2):334-348
The automorphism group and outer automorphism group of a free group Fn of rank n act on the abelianized group H of Fn and the dual group H* of H. The twisted first homology groups of and with coefficients in H and H* are calculated. 相似文献
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Let B⊆A be an H-Galois extension, where H is a Hopf algebra over a field K. If M is a Hopf bimodule then , the Hochschild homology of A with coefficients in M, is a right comodule over the coalgebra CH=H/[H,H]. Given an injective left CH-comodule V, our aim is to understand the relationship between and . The roots of this problem can be found in Lorenz (1994) [15], where and are shown to be isomorphic for any centrally G-Galois extension. To approach the above mentioned problem, in the case when A is a faithfully flat B-module and H satisfies some technical conditions, we construct a spectral sequence
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In this paper, we develop a stochastic calculus related to a fractional Brownian sheet as in the case of the standard Brownian sheet. Let be a fractional Brownian sheet with Hurst parameters H=(H1,H2), and (2[0,1],B(2[0,1]),μ) a measure space. By using the techniques of stochastic calculus of variations, we introduce stochastic line integrals along all sufficiently smooth curves γ in 2[0,1], and four types of stochastic surface integrals: , i=1,2, , , , . As an application of these stochastic integrals, we prove an Itô formula for fractional Brownian sheet with Hurst parameters H1,H2∈(1/4,1). Our proof is based on the repeated applications of Itô formula for one-parameter Gaussian process. 相似文献
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Yuan Li 《Journal of Mathematical Analysis and Applications》2011,382(1):172-3242
Let ?A be a normal completely positive map on B(H) with Kraus operators . Denote M the subset of normal completely positive maps by . In this note, the relations between the fixed points of ?A and are investigated. We obtain that , where K(H) is the set of all compact operators on H and is the dual of ?A∈M. In addition, we show that the map is a bijection on M. 相似文献
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Yonghong Yao Muhammad A. Noor Yeong-Cheng Liou 《Applied mathematics and computation》2010,216(3):822-9874
Let H be a real Hilbert space. Let F:H→H be a strongly monotone and Lipschitzian mapping. Let be an infinite family of non-expansive mappings with common fixed points set . We devise an iterative algorithm
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Hiroaki Terao 《Advances in Mathematics》2007,214(1):366-378
Let A be a nonempty real central arrangement of hyperplanes and Ch be the set of chambers of A. Each hyperplane H defines a half-space H+ and the other half-space H−. Let B={+,−}. For H∈A, define a map by (if C⊆H+) and (if C⊆H−). Define . Let Chm=Ch×Ch×?×Ch (m times). Then the maps induce the maps . We will study the admissible maps which are compatible with every . Suppose |A|?3 and m?2. Then we will show that A is indecomposable if and only if every admissible map is a projection to a component. When A is a braid arrangement, which is indecomposable, this result is equivalent to Arrow's impossibility theorem in economics. We also determine the set of admissible maps explicitly for every nonempty real central arrangement. 相似文献
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Roland Kaschek 《Discrete Mathematics》2010,310(8):1275-1281
This paper proves a necessary and sufficient condition for the endomorphism monoid of a lexicographic product G[H] of graphs G,H to be the wreath product of the monoids and . The paper also gives respective necessary and sufficient conditions for specialized cases such as for unretractive or triangle-free graphs G. 相似文献
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S.V. Ivanov 《Advances in Mathematics》2008,218(2):465-484
The Kurosh rank rK(H) of a subgroup H of a free product of groups Gα, α∈I, is defined accordingly to the classic Kurosh subgroup theorem as the number of free factors of H. We prove that if H1, H2 are subgroups of and H1, H2 have finite Kurosh rank, then , where , q∗ is the minimum of orders >2 of finite subgroups of groups Gα, α∈I, q∗:=∞ if there are no such subgroups, and if q∗=∞. In particular, if the factors Gα, α∈I, are torsion-free groups, then . 相似文献
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Suppose that A is an operator algebra on a Hilbert space H. An element V in A is called an all-derivable point of A for the strong operator topology if every strong operator topology continuous derivable mapping φ at V is a derivation. Let N be a complete nest on a complex and separable Hilbert space H. Suppose that M belongs to N with {0}≠M≠H and write for M or M⊥. Our main result is: for any with , if is invertible in , then Ω is an all-derivable point in for the strong operator topology. 相似文献
11.
Bebe Prunaru 《Journal of Mathematical Analysis and Applications》2009,350(1):333-179
Let 1?n?∞, and let be a row contraction on some Hilbert space H. Let F(T) be the space of all X∈B(H) such that . We show that, if non-zero, this space is completely isometric to the commutant of the Cuntz part of the minimal isometric dilation of . 相似文献
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Let H be a hereditary abelian k-category with tilting object and denote the bounded derived category of H. This paper is devoted to a study of suspended subcategories of by means of their Ext-projectives. 相似文献
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Mark M. Meerschaert Erkan Nane Yimin Xiao 《Journal of Mathematical Analysis and Applications》2008,346(2):432-445
Let be a fractional Brownian motion of Hurst index H∈(0,1) with values in R, and let be the local time process at zero of a strictly stable Lévy process of index 1<α?2 independent of WH. The α-stable local time fractional Brownian motion is defined by ZH(t)=WH(Lt). The process ZH is self-similar with self-similarity index and is related to the scaling limit of a continuous time random walk with heavy-tailed waiting times between jumps [P. Becker-Kern, M.M. Meerschaert, H.P. Scheffler, Limit theorems for coupled continuous time random walks, Ann. Probab. 32 (2004) 730-756; M.M. Meerschaert, H.P. Scheffler, Limit theorems for continuous time random walks with infinite mean waiting times, J. Appl. Probab. 41 (2004) 623-638]. However, ZH does not have stationary increments and is non-Gaussian. In this paper we establish large deviation results for the process ZH. As applications we derive upper bounds for the uniform modulus of continuity and the laws of the iterated logarithm for ZH. 相似文献
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Let H?1 be a selfadjoint operator in H, let J be a linear and bounded operator from (D(H1/2),∥H1/2·∥) to Haux and for β>0 let be the nonnegative selfadjoint operator in H satisfying
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Let H be a Hilbert space and C be a nonempty closed convex subset of H, {Ti}i∈N be a family of nonexpansive mappings from C into H, Gi:C×C→R be a finite family of equilibrium functions (i∈{1,2,…,K}), A be a strongly positive bounded linear operator with a coefficient and -Lipschitzian, relaxed (μ,ν)-cocoercive map of C into H. Moreover, let , {αn} satisfy appropriate conditions and ; we introduce an explicit scheme which defines a suitable sequence as follows:
18.
The Ramsey size number of dipaths 总被引:1,自引:0,他引:1
David Reimer 《Discrete Mathematics》2002,257(1):173-175
19.
Let H be a countable subgroup of the metrizable compact Abelian group G and a (not necessarily continuous) character of H. Then there exists a sequence of (continuous) characters of G such that limn→∞χn(α)=f(α) for all α∈H and does not converge whenever α∈G?H. If one drops the countability and metrizability requirement one can obtain similar results by using filters of characters instead of sequences. Furthermore the introduced methods allow to answer questions of Dikranjan et al. 相似文献
20.
Bebe Prunaru 《Journal of Functional Analysis》2008,254(6):1626-1641
Let H be a complex Hilbert space and let {Tn}n?1 be a sequence of commuting bounded operators on H such that . Let denote the space of all operators X in B(H) for which and suppose that . We will show that there exists a triple {K,Γ,{Un}n?1} where K is a Hilbert space, Γ:K→H is a bounded operator and {Un}n?1⊂B(K) is a sequence of commuting normal operators with such that TnΓ=ΓUn for n?1, and for which the mapping Y?ΓYΓ∗ is a complete isometry from the commutant of {Un}n?1 onto the space . Moreover we show that the inverse of this mapping can be extended to a ∗-homomorphism