共查询到20条相似文献,搜索用时 15 毫秒
1.
Gert K. Pedersen 《Proceedings of the American Mathematical Society》1997,125(9):2657-2660
Given a pair , of -commuting, hereditary -subalgebras of a unital -algebra , such that is -unital and , there is an element in , with , such that is strictly positive in and is strictly positive in in . Moreover, is strictly positive in in .
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Aljaž Zalar 《代数通讯》2013,41(9):3420-3429
A linear polyomial non-negative on the non-negativity domain of finitely many linear polynomials can be expressed as their non-negative linear combination. Recently, under several additional assumptions, Helton, Klep, and McCullough extended this result to matrix polynomials. The aim of this article is to study which of these additional assumptions are really necessary. 相似文献
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We study the Kobayashi pseudodistance for orbifolds, proving an orbifold version of Brody’s theorem and classifying which
one-dimensional orbifolds are hyperbolic. 相似文献
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It is often said that the Morse-Bott Lemma can be viewed as a “parameterized” Morse Lemma, and its proof should follow from the differentiability of the methods used to prove the Morse Lemma. The goal of this expository paper is to fill in the details. We present Palais' proof of the Morse Lemma using Moser's path method, which yields the necessary differentiability. 相似文献
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根据Bihali引理可以确定微分方程解存在的更大一些的区间.该引理显然是十分重要的,然而目前找不到这个引理的证明.本文给出了一种证明.并举实例说明了这个引理的重要性. 相似文献
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Let ? be a bounded and connected open subset of R~N with a Lipschitzcontinuous boundary,the set ? being locally on the same side of ??.A vector version of a fundamental lemma of J.L.Lions,due to C.Amrouche,the first author,L.Gratie and S.Kesavan,asserts that any vector field v =(vi) ∈(D′(?))~N,such that all the components 1/2(?_jv_i + ?_iv_j),1 ≤ i,j ≤ N,of its symmetrized gradient matrix field are in the space H~(-1)(?),is in effect in the space(L~2(?))~N.The objective of this paper is to show that this vector version of J.L.Lions lemma is equivalent to a certain number of other properties of interest by themselves.These include in particular a vector version of a well-known inequality due to J.Neˇcas,weak versions of the classical Donati and Saint-Venant compatibility conditions for a matrix field to be the symmetrized gradient matrix field of a vector field,or a natural vector version of a fundamental surjectivity property of the divergence operator. 相似文献
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Friday Ifeanyi Michael 《Applied Categorical Structures》2013,21(5):441-448
We formulate and prove a “five lemma”, which unifies two independent generalizations of the classical five lemma in an abelian category: the five lemma in a (modular) semi-exact category in the sense of M. Grandis, and the five lemma in a pointed regular protomodular category in the sense of D. Bourn. 相似文献
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In this paper,we establish a boundary Schwarz Lemma for holomorphic mapping on the generalized complex ellipsoid in Cn. 相似文献
10.
Laura Ghezzi 《Journal of Algebra》2010,323(4):1018-1035
11.
Richard Aron Antonia Cardwell Domingo Garcí a Ignacio Zalduendo 《Proceedings of the American Mathematical Society》2007,135(8):2549-2554
We prove a multilinear version of Phelps' Lemma: if the zero sets of multilinear forms of norm one are `close', then so are the multilinear forms.
12.
Morse引理的一个推广 总被引:5,自引:1,他引:4
设En是在0∈Rn的C∞函数芽环,M是En中唯一的极大理想.如果f∈M2且其二阶Hessain是非退化的,则f同构于它的二阶Hessain,这就是著名的Morse引理.本文将讨论两个变元的C∞函数芽,得到:(1)若f∈M3?Exy,且其三阶Hessain是非退化的,则f同构于它的三阶Hessain.(2)若f∈M4?Exy 相似文献
13.
We state and prove a general version of the Schwarz-Pick Lemma that involves more than two points in the hyperbolic plane
and with appears to contain all known variations of the classical result. We give some applications to complex function theory
and then discuss our result in the context of the Pick-Nevanlinna Theorem. 相似文献
14.
A general Fatou Lemma is established for a sequence of Gelfand integrable functions from a vector Loeb space to the dual of a separable Banach space or, with a weaker assumption on the sequence, a Banach lattice. A corollary sharpens previous results in the finite-dimensional setting even for the case of scalar measures. Counterexamples are presented to show that the results obtained here are sharp in various aspects. Applications include systematic generalizations of the distribution of correspondences from the case of scalar Loeb spaces to the case of vector Loeb spaces and a proof of the existence of a pure strategy equilibrium in games with private and public information and with compact metric action spaces. 相似文献
15.
A Schwarz Lemma for the Symmetrized Bidisc 总被引:1,自引:0,他引:1
Let be an analytic function from D to the symmetrized bidisc
We show that if (0) = (0,0) and () = (s, p) in the interiorof , then
Moreover, the inequality is sharp: we give an explicit formulafor a suitable in the event that the inequality holds withequality. We show further that the inverse hyperbolic tangentof the left-hand side of the inequality is equal to both theCaratheodory distance and the Kobayashi distance from (0,0)to (s, p) in int 相似文献
16.
Arseniy V. Akopyan 《Discrete Mathematics》2012,312(10):1650-1651
In this short note we give a simple geometric proof of the Collapsing Walls Lemma given by Pak and Pinchasi (2012) in [1]. Our arguments work in spaces of constant curvature. 相似文献
17.
《Journal of Combinatorial Theory, Series A》1987,44(1):164-167
Combining the qa-binomial theorem in the version of J. Cigler (Monatsh. Math. 88, 87–105 (1979)) with the ε-technique of L. J. Rogers (G. E. Andrews, Math. Chronicle, 11, 1–15, 1982) a short operator proof of a significant special case of Bailey's Lemma is given. 相似文献
18.
We consider a new method for constructing finite-dimensional irreducible representations of the reflection equation algebra. We construct a series of irreducible representations parameterized by Young diagrams. We calculate the spectra of central elements s
k=Trq
L
k of the reflection equation algebra on q-symmetric and q-antisymmetric representations. We propose a rule for decomposing the tensor product of representations into irreducible representations. 相似文献
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