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Thompson's group F and Linear group GL_{infty}(ZZ)
Thompson's group F Word-metric Lipschitz map
2011/10/20
Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
On finite decomposition complexity of Thompson's group F
Thompson's group F Finite decomposition complexity Word-metric Exact metric spaces Reduced forest diagram
2011/10/20
Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a...
Distortion of wreath product in Thompson's group F
Thompson's group F restricted wreath product quasi-isometrically embedded
2011/10/20
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
On approximation by ∆- convex polyhedron support functions
Weierstrass theorem function approximation weakly continuous function weakly compact set normed semigroup ∆ convex polyhedron support function
2011/10/20
The classical Weierstrass theorem states that every continuous function f defined ona compact set K▲Rn can be uniformly approximated by polynomials. In this paper we show firstthat it is again valid i...
On super weakly compact convex sets and representation of {m swcc}(X)^*
super weakly compact set dual of normed semigroup uniform Fr'echet differetiability representation
2011/10/20
In this note, we give first that a characterization of super weakly compact convex sets of a Banach space X, namely, a sufficient and necessary condition for a closed bounded convex set Ksubset X to b...
Some results on the representations for generalized Drazin inverse of 2X2 matrix
Block matrix Generalized Drazin inverse Schur complement
2011/10/20
Some representations for the Drazin inverse of a block matrix , where and are Drazin invertible, in terms of the Drazin inverses of and are developed under the assumptions that and with the generalize...
一类二阶非线性非自治混合型泛函微分方程的次调和周期解的存在性
变分结构 临界点 算子方程 次微分 次调和周期解 二阶混合型非线性泛函微分方程
2011/9/14
本文通过引入下半连续凸泛函的次微分和共轭泛函,用临界点理论和算子理论方法,得出了二阶非线性非自治混合型泛函微分方程的多重次调和周期解。
利用重合度理论, 研究一类具有偏差变元的三阶变时滞微分方程x(t)+∑2i=1[aix(i)(t)+bix(i)(t-τi(t))\]+cx(t)+g1(x(t))+g2(x(t-τ3(t)))=e(t)的T周期解问题, 得到了上述方程T周期解存在唯一性的若干结果, 所得结果与方程的3个时滞有关.
Polynomials of almost-normal arguments in $C^*$-algebras
Polynomials of almost-normal arguments Operator Algebras
2011/9/23
Abstract: The functional calculus for normal elements in $C^*$-algebras is an important tool of Analysis. We suggest an approximate substitute for such calculus for elements $a$ with the small self-co...
Inversion Formulas for the Spherical Means in Constant Curvature Spaces
The spherical mean Radon transform thermoacoustic tomography the method of analytic continuation
2011/9/23
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
The Hessenberg matrix and the Riemann mapping
Hessenberg matrix Riemann mapping Spectral Theory
2011/9/29
Abstract: We show in this paper that, if \mu is a regular measure whose support is a Jordan arc or a connected finite union of Jordan arcs in the complex plane \mathbb{C}, then the limits of the eleme...
On the Properties of Special Functions on the linear-type lattices
q-hypergeometric functions difference equations recurrence relations q-polynomials
2011/9/23
Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
广义函数空间上Wilson型函数方程的稳定性
Wilson函数方程 广义函数 热方程的核 Hyers Ulam稳定性
2012/11/13
利用热方程的核, 通过广义函数正则化的方法给出Wilson函数方程在广义函数空间(包括缓增广义函数空间、 傅里叶超函数空间和Gelfand-Shilov广义函数空间)上的Hyers-Ulam稳定性, 并证明了在广义函数空间上Wilson函数方程的稳定性具有与一般函数空间上类似的结果.
New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Ostrowski type inequality convex function Riemann-Liouville fractional integral
2011/9/22
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...