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Thompson's group F and Linear group GL_{infty}(ZZ)     Thompson's group F  Word-metric  Lipschitz map       font style='font-size:12px;'> 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...
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 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...
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...
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 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...
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.
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...
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       font style='font-size:12px;'> 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...
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       font style='font-size:12px;'> 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.
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...
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...

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