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	1. Weighed pseudo almost automorphic solutions to semilinear differential equation
	Zhang Rongjuan
	Mathematics 29 March 2010
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	Abstract:In this paper appling the theory of semigroups of operators to evlution family and Banach contraction principle. We prove the existence and uniqueness of a weighed pseudo almost automorphic solution of the semilinear differential equation in Banach space under conditions.
	TO cite this article:Zhang Rongjuan. Weighed pseudo almost automorphic solutions to semilinear differential equation [OL].[29 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41269


	2. The pseudo almost aotomorphic mild solution of the integrodifferential equations with nonlocal initial conditions
	Zhang Rongjuan
	Mathematics 25 March 2010
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	Abstract:In this parer,applying the theory of semigroup of operators to evlution families and Banach fixed point thorem,We deal with the existence and uniqueness of the pseudo almost automorphic mild solution of the fintegrodifferential equations wit with a nonlocal initial condition
	TO cite this article:Zhang Rongjuan. The pseudo almost aotomorphic mild solution of the integrodifferential equations with nonlocal initial conditions [OL].[25 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41153


	3. Reflexivity and reducibility of operators related to invariant subspace problem
	Ji You Qing,Xu Xinjun
	Mathematics 07 January 2009
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	Abstract:The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every (bounded linear) operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace. every reducible subspace of $T$ is invariant subspace of $T$ too. We show that, for some Banach space operators $T$,( {\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\it bi-crystal} operator) the following statements are equivalent. (1) There exists a nontrivial invariant subspace of $T$. (2) $T$ is Banach reducible. (3) $T$ is reflexive. And we show that if $A\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\sim A \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\bigoplus A$, then $A$ is reflexive.
	TO cite this article:Ji You Qing,Xu Xinjun. Reflexivity and reducibility of operators related to invariant subspace problem[OL].[ 7 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27437


	4. Commuting Toeplitz Operators with Harmonic Symbols on　A^2(overline{mathbb{D}},dmu)$
	Ji You Qing,Wang Chunmei
	Mathematics 06 January 2009
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	Abstract:For any given symmetric measure u on the closed unit disk $overline{mathbb{D}}$, by characterizingthe relationship between the Berezin transform and harmonic functions, we obtain that if both $f$ and $g$ are bounded harmonic on $mathbb{D}$, then the Toeplitz operator $T_f$ commutes with $T_g$ on $A^2(overline{mathbb{D}},dmu)$ if and only if at least one of the following conditions holds: (1) both $f$ and $g$ are analytic on $mathbb{D}$; (2) both $overline{f}$ and $overline{g}$ are analytic on $mathbb{D}$;(3) there exist constants $a,binmathbb{C}$, not both 0, such that $af+bg$ is constant on $mathbb{D}$.
	TO cite this article:Ji You Qing,Wang Chunmei. Commuting Toeplitz Operators with Harmonic Symbols on　A^2(overline{mathbb{D}},dmu)$　[OL].[ 6 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27386


	5. Properties of eigenfunctions for problems with the transmission conditions
	Wang Guixia,Sun Jiong
	Mathematics 29 December 2007
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	Abstract:Some fundamental properties of eigenfunctions for regular Sturm-Liouville problems are extended to special kind boundary value problems, which have discontinuities in the solution or its quasi-derivative at an interior point. Oscillatory properties of eigenfunctions are investigated, primarily. Examples with numericals illustrated corresponding conclusions.
	TO cite this article:Wang Guixia,Sun Jiong. Properties of eigenfunctions for problems with the transmission conditions[OL].[29 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17566


	6. Toeplitz operators in H^{\\infty }+C
	Cao Guangfu
	Mathematics 02 October 2006
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	Abstract:In the present paper, the essential spectrum of the Toeplitz operator with symbols in $H^{\\infty }+C$ on the finite complex connected domain in the complex plane is represented, and the index formula is obtained.
	TO cite this article:Cao Guangfu. Toeplitz operators in H^{\\infty }+C[OL].[ 2 October 2006] http://en.paper.edu.cn/en_releasepaper/content/8590

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