Banach

In this paper, by using the monotone iterative technique with Upper and Lower and Partial Order methods, we study the existence and uniqueness solutions of terminal value problems for integro-differential equations in Banach spaces.

利用上下解的单调迭代方法及半序理论讨论了Banach空间积-微分方程终值问题解的存在性。

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Some Stability Theorems of Continuous System in Banach Space

Banach空间中的连续时间稳定性的几个定理

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Several Problems of Functional Extreme Value in Banach Space

Bαnαch空间中泛函极值的几个问题

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Advances in Research for Rotund Norm of Banach Spaces

Banach空间凸性范数研究的若干进展

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Weak Topology on the Space of Banach Space Valued Measures on the Metric Space

距离空间上B－值测度空间的弱拓扑

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New proofs of two basic theorems in Banach Space

对巴拿赫空间理论中两个定理的新证明

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A geometric property in LK NUC Banach Spaces

LK-NUC空间的一个几何性质

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Objective: To study the dual of Banach frame, P-frame and Xd frame.

目的探讨在Banach框架，P-框架，Xd-框架的对偶的不同形式。

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On Very Rotund Banach Space

关于非常圆的Banach空间

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On a modified Newton's method and convergence in Banach space

求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性

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Equivalent conditions for reducible elements of a complex commutative Banach algebra

复交换Banach代数中可约元的等价条件

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The realization theory of linear systems defined over a commutative Banach algebra W is studied. For the given strictly proper rational matrix function over W, using the matrix fraction description, the controllable and observable realizations have been constructed.

研究变换Banach代数W上线性系统的实现理论，对给定的W上的严格真有理矩阵函数，利用其矩阵分式描述，构造了其可控形和可观测形的实现；

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Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one value in a specific open ball.

给出了在K上的任意两个Banach空间之间，Fredholm映射在一个特定的开球中，至少有一个共同值的充分条件。

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The first order characteristic functions and some geometric properties in Banach Spaces

一阶特征函数与Banach空间的若干几何性质

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The Theory of Linear Operators on a Class of Indecomposable Banach Spaces and Related Problems

一类不可分解Banach空间上线性算子理论及有关问题

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On a class of spectral measures in an Banach space

关于巴拿赫空间上的一类谱测度

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The necessary and sufficient condition which hyperspherical series on Banach space is entire function is obtained. We also used new method to prove the extended theorem of hyperspherical series.

得出了Banach空间的超球级数为整函数的充分必要条件，并用新方法证明了Banach空间超球级数的展开定理，推广了前人的结果。

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The spectral extension property of commutative Banach algebra

交换Banach代数的谱延拓性质

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Edgar and Zhao Junfeng have established an ordering structure on Banach spaces in References [ 1-3 ].

Edgar和赵俊峰在参考文 [ 1—3 ] 中建立了Banach空间类上的一种序结构.

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An existence theorem of fixed points for mappings of asymptotically nonexpansive type is proved in any k-uniformly rotund Banach space, which generalizes results of Goebel-kirk [ 2], Kirk [ 3], and Yu Xintai-Dc Xingde [ 6].

本文在k一致圆形Banach空间中证明了连续渐近非扩张型映象不动点的存在性。这一结果推广了Gocbcl-Kirk，Kirk，俞鑫泰&戴兴德等人的结果。

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Study on the K-theory of Operator Algebras on Banach Spaces

Banach空间上算子代数K-理论的初探

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The ( E_1) Topology in Banach Space and the Homeomorphism of Spaces

Banach空间中的（E1）拓扑与空间的同胚问题

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The minimal norm control problem in averagely uniformly convex Banach spaces

平均一致凸Banach空间的最小范数控制

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Two Characteristics of Banach Space Isomorphism With Hilbert Space

Banach空间同构于Hilbert空间的两个特征

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Existence and multiplicity of periodic solutions are obtained by using cone mapping theory and supersolution and subsolution method for second order ordinary differential equations in ordered Banach spaces.

利用锥映射的拓扑度理论与上、下解方法获得了有序Banach空间中二阶常微分方程周期边值问题的多解存在性定理。

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Realization theory of linear systems defined over a commutative Banach algebra

交换Banach代数上线性系统的实现

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Geometrical properties and differentiability of the norms in Banach Spaces

Banach空间的几何性质与范数的可微性

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Theory about Strong Number Law of Mixed Sequence in Banach Space

Banach空间混合列强大数定律的收敛定理

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In this paper we discuss some properties of M ( A), the multiplier algebra of a commutative BANACH algebra A, and obtain the following result: If A is a faithful commutative-algebra, then so is M ( A).

本文讨论了交换Banach代数A的乘子代数（A）的若干性质，并且得到了如下的结论：如果A是一个忠实交换的~代数，那么M（A）也是一个交换的~代数。

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Master's academic article "Study on the K-groups of operator algebras B ( X)" is the organic combinative result of the study on the theory of Banach space and the operator theory of functional analysis.

硕士学位论文《关于算子代数B（X）的K群的相关研讨》是泛函分析学科Banach空间理论与算子理论有机结合进行研讨的产物。

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