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	1. ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras
	Liu Lei ,Ji Guoxing
	Mathematics 28 April 2012
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	Abstract:Let X be a Banach space over the real or complex field F and A⊆B(X) be a standard operator algebra.We prove that a ξ-Lie derivable map δ on A is the sum of an additive derivation and a map from A to F vanishing all commutators when ξ=1; is an additive derivationsatisfying δ(ξ A)=ξδ(A) when ξ≠1. Related results concerning generalized ξ-Lie derivablemaps are given.
	TO cite this article:Liu Lei ,Ji Guoxing . ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras[OL].[28 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4476863


	2. Strong convergence theorems by a new hybrid projection algorithm forequilibrium problems and fixed point problems of three relativelyweak quasi-nonexpansive mappings and a monotonemapping
	Bu Shangquan ,Cai Gang
	Mathematics 12 March 2012
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	Abstract:The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of common fixed points of three relatively weak quasi -nonexpansive mappings, the set of solutions of an equilibrium problem and a zero of solutions of $lpha-$inverse strongly monotone mapping in the framework of Banach spaces. Moreover, strong convergence theorems to a point which is common fixed point of three relatively weak quasi-nonexpansive mappings, a solution of an equilibrium problem and a solution of a certain variational problem are proved under appropriate conditions.Our results improve and extend the results announced by many others.
	TO cite this article:Bu Shangquan ,Cai Gang . Strong convergence theorems by a new hybrid projection algorithm forequilibrium problems and fixed point problems of three relativelyweak quasi-nonexpansive mappings and a monotonemapping[OL].[12 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4470106

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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. The reverse order law for {1,2,3}-inverse of a two-operator product
	Haiyan Zhang,Ji Guoxing
	Mathematics 02 March 2012
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	Abstract:The reverse order law for {1,2,3}-inverse of a two-operator product is mainly investigated by making full use of block-operator matrix technique in this paper. The necessary and sufficient conditions for AB{1,2,3} includes B{1,2,3}A{1,2,3} and AB{1,2,4} includes B{1,2,4}A{1,2,4} are presented when all ranges R(A), R(B) and R(AB) are closed.
	TO cite this article:Haiyan Zhang,Ji Guoxing. The reverse order law for {1,2,3}-inverse of a two-operator product[OL].[ 2 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4469607


	5. 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


	6. On uniformly convex subsets of Banach spaces
	Cheng Qingjin
	Mathematics 14 January 2012
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	Abstract:This paper introduces a notion ofuniform convex sets in Banach spaces, which is a localized settingof uniformly convex Banach spaces, and shows that every uniformlyconvex set has many nice properties, such as, every boundeduniformly convex set is weakly compact and admits the Radon-Rieszproperty. It also presents that the metric projection to everynonempty uniformly convex set is always continuous, every convexsubset in a uniformly convex space is uniformly convex and everycompact convex subset in a strictly convex space is also uniformlyconvex.
	TO cite this article:Cheng Qingjin. On uniformly convex subsets of Banach spaces[OL].[14 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4462246


	7. The existence of solutions of a class of operator equations
	XIONG Chunlian ,DUAN Huagui
	Mathematics 18 November 2011
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	Abstract:In this paper, iterativetechniques and the partial order theory are used to study theexistence of coupled solutions and solutions for an operatorequation Lx=N(x,y) in a complete metric space and Banach space,respectively. And then main results are applied to two pointboundary value problems of an integro-differential equation.
	TO cite this article:XIONG Chunlian ,DUAN Huagui . The existence of solutions of a class of operator equations[OL].[18 November 2011] http://en.paper.edu.cn/en_releasepaper/content/4450251


	8. Endpoint Boundedness of Riesz Transforms onHardy Spaces Associated with Operators
	CAO Jun,Yang Dachun,YANG Sibei
	Mathematics 28 September 2011
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	Abstract:Let L1 be a nonnegative self-adjointoperator in L2(Rn) satisfying the Davies-Gaffney estimates and L2 a second order divergence form elliptic operator with complexbounded measurable coefficients. A typical example of L1 is the Schrodinger operator -Δ+V, whereΔ is the Laplace operator on Rn and 0≤V∈L 1 loc(Rn). Let H p Li(Rn) be the Hardy space associated to Li for i∈{1,2}. In thispaper, the authors prove that the Riesz transform D (L i -1/2) is bounded from H p Li (Rn) to the classical weakHardy space WH p(Rn) in the critical case that p=n/(n+1).Recall that it is known that D (L i -1/2) is bounded from H p Li(Rn) to the classicalHardy space H p(Rn) when p∈(n/(n+1),1].
	TO cite this article:CAO Jun,Yang Dachun,YANG Sibei. Endpoint Boundedness of Riesz Transforms onHardy Spaces Associated with Operators[OL].[28 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4444453


	9. 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


	10. Some results on the representations for generalized Drazin inverse of 2X2 matrix
	Deng Chunyuan ,Yimin Wei
	Mathematics 07 September 2011
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	Abstract: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 generalized Schur complement neither nonsingular nor zero.
	TO cite this article:Deng Chunyuan ,Yimin Wei. Some results on the representations for generalized Drazin inverse of 2X2 matrix[OL].[ 7 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4442310

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