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	1. On an open question concerning joint approximate point spectrum
	ZENG Qingping,ZHONG Huaijie
	Mathematics 24 April 2013
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	Abstract:In this note we give an answer to an open question posed recently by Mecheri and Braha [Oper. Matrices 6 (2012), 725--734]. More precisely, we show that if T is n-perinormal, then the nonzero points of its approximate point spectrum and joint approximate point spectrum are identical; but this is not the case at 0.
	TO cite this article:ZENG Qingping,ZHONG Huaijie. On an open question concerning joint approximate point spectrum[OL].[24 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4539383


	2. Strong convergence theorems for fixed point problems of two countable families of mappings in real Banach spaces
	Shangquan Bu,Gang Cai
	Mathematics 09 April 2013
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	Abstract: In this paper, we introduce a new implicit iterative process for two countable families of mappings in the framework of a real Banach space and prove some strong convergence theorems under suitable conditions.The results obtained in this paper extend and improve thecorresponding results announced by many others.
	TO cite this article:Shangquan Bu,Gang Cai. Strong convergence theorems for fixed point problems of two countable families of mappings in real Banach spaces[OL].[ 9 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4536923

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	3. Strong convergence by a hybrid projection algorithm for equilibriumproblems and fixed point problems of two finite families ofhemi-relatively nonexpansive mappings
	Shangquan Bu, Gang Cai
	Mathematics 05 March 2012
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	Abstract:This purpose of this paper is to introduce ahybrid iterative scheme for finding a common element of the set ofsolutions of an equilibrium problem and the set of common fixedpoints of two finite families of hemi-relatively nonexpansivemappings in the framework of Banach spaces.Our results improve andextend the recent ones announced by many others.
	TO cite this article:Shangquan Bu, Gang Cai. Strong convergence by a hybrid projection algorithm for equilibriumproblems and fixed point problems of two finite families ofhemi-relatively nonexpansive mappings[J].


	4. A characterization of weakly compact sets by convex functions
	CHENG Qingjin
	Mathematics 20 January 2012
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	Abstract:This note introduces a convexity property of convexfunctions defined on a nonempty convex set in Banach spaces and establishes several equivalent characterizations of weakcompactly subsets of Banach spaces by the property. More precisely, let X be a Banach space and let K∈X be a convex bounded subset. Then (i) If X is separable, then K is weakly compact iff thereexists a continuous 2R convex function on K.(ii) If X is nonseparable then K is weakly compact iffthere exists a continuous w2R convex function on K.
	TO cite this article:CHENG Qingjin. A characterization of weakly compact sets by convex functions[OL].[20 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4462252


	5. Relations among Besov-Type Spaces,Triebel-Lizorkin-Type Spaces and Generalized Carlesonmeasure Spaces
	YANG Dachun,Yuan Wen
	Mathematics 07 September 2011
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	Abstract:In this paper, the authors construct some counterexamples to show thatthe generalized Carleson measure space and the Triebel-Lizorkin-type spaceare not equivalent for certain parameters. Moreover,the authors show that for some special parameters, the generalized Carleson measure space, the Triebel-Lizorkin-type space and the Besov-type space coincide with certain Triebel-Lizorkin space.
	TO cite this article:YANG Dachun,Yuan Wen . Relations among Besov-Type Spaces,Triebel-Lizorkin-Type Spaces and Generalized Carlesonmeasure Spaces[OL].[ 7 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4442115


	6. On approximation by ∆- convex polyhedron support functions
	Cheng LiXin,Zhou Yu
	Mathematics 30 March 2011
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	Abstract: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 if K is a compact Housdorff metric space. We prove also that for any weak(w, resp.) continuous positively homogenous function f defined on a (dual, resp.) Banach space X (X, resp.) then for all ε>0 and for every weakly compact set K⊂X( w* compact set K⊂X), there exist ϕi ∈X ( X, resp.) for i=1,2,..., m,and ψj ∈ X* (X, resp.) for j=1,2,...,n such that\|f(x)−[(ϕ1∨ϕ2∨···∨ϕm)(x)−(ψ1∨ψ2∨···∨ψn)(x)]\|<ϵ uniformly for x∈K. Let cc(X) (wcc(X), reps.) be the norm semigroup consisting of all nonempty (weakly, resp.) compact convex sets of the space X. As its application, we give two representation theorems of the duals of cc(X) and wcc(X).
	TO cite this article:Cheng LiXin,Zhou Yu. On approximation by ∆- convex polyhedron support functions[OL].[30 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4419355


	7. On finite decomposition complexity of Thompson's group $F$
	Wu Yan,Chen Xiaoman
	Mathematics 23 February 2011
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	Abstract: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 countable ordinal "the complexity" can be defined for a metric spacewith FDC. This paper proves that the subgroup Z≀Z of Thompson's group F belongs to Dω exactly, where ω is the smallest infinite ordinal number. And it shows that F equipped with theword-metric with respect to the infinite generating set{x0,x1,...xn,...} does not have finitedecomposition complexity.
	TO cite this article:Wu Yan,Chen Xiaoman. On finite decomposition complexity of Thompson's group $F$[OL].[23 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4411005


	8. Entire Functions of Exponential-Type with Given Zeros
	Deng Guantie,Li Zhen
	Mathematics 17 September 2010
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	Abstract:In this paper, we consider some entire functions of exponential-type with given zeros, a kind of sequences of complex numbers in the right half-plane, and discuss the growth of the functions on the imaginary axis.
	TO cite this article:Deng Guantie,Li Zhen. Entire Functions of Exponential-Type with Given Zeros[OL].[17 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4385977


	9. Variational Minimizing Parabolic Orbits for the Restricted 3-Body Problems
	Zhang,Shiqing
	Mathematics 01 April 2010
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	Abstract:The Least Action Principle is the simplest and the most nature rule in the world. Using variational minimizing methods and the implicit symmetries, we prove the existence of the odd symmetric parabolic orbit for the restricted 3-body problems with weak forces.
	TO cite this article:Zhang,Shiqing. Variational Minimizing Parabolic Orbits for the Restricted 3-Body Problems[OL].[ 1 April 2010] http://en.paper.edu.cn/en_releasepaper/content/41418


	10. Applications of Ghoussoub-Preiss’s MPL to Periodic Solutions of Hamiltonian Systems with a Fixed Energy
	Zhang Shiqing
	Mathematics 22 September 2009
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	Abstract:We apply the Ghoussoub-Preiss’s generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition to study the existence of new periodic solutions with a prescribed energy for some second order Hamiltonian systems.
	TO cite this article:Zhang Shiqing. Applications of Ghoussoub-Preiss’s MPL to Periodic Solutions of Hamiltonian Systems with a Fixed Energy[OL].[22 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35374

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