查询词典 Banach space

So an inner product space is automatically a normed linear space, and a Hilbert space is automatically a Banach space.

我们定义了线性映射的厄米共轭：对所有的，，(1)从而定义了中的内积：对(2)注意，由(1)可见与不同。

In chapter 3, the concepts of M-matrix and H-matrix over a commutative Banach algebra have been proposed, and some of their important properties and applications in linear systems over a commutative Banach algebra have been studied. For usual complex matrix, the Bellman inequality with Hadamard product has been proved.

第三章，提出了交换Banach代数上M一矩阵及H一矩阵的概念，研究了其一些重要性质，并给出了在交换Banach代数上线性系统中的应用；对有限维复矩阵，证明了关于 Hadamard乘积的 Bell.an不等式。

Using the resolvent operator technique, we establish the equivalence between the generalized set-valued quasi variational inclusions in Banach spaces and the fixed point problems, and some perturbed iterative algorithms, prove that its proximate solution converges to its exact solution in real Banach spaces.

利用这种等价性，建立了一些摄动迭代算法，并证明了近似解序列强收敛于精确解。

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The Fifth Chapter analysises the practical example of the historied campus exterior space plan for 100-year-history universities in Shanghai. It includes the space structure, the transportation space, and the space detailed point such as space before campus, central square, space closed to water, space in the entrance of main buildings, etc.

第五章，对上海百年高校老校园建筑外部空间进行实例分析，从空间结构入手，分析校园交通空间，进而展开对各主要空间节点的研究，包括：校前空间、中心广场、亲水空间和重点建筑入口空间等等。

Dahlquist,Butcher,Burrage and Frank et.al.established early or late B-theory of Runge-Kutta methodsfor stiff problems in Euclidean space with finite dimensions.Afterward,Shoufu Li et.al.extended this theory to general linear methods and stiff problems in Hilbert space andfurther established B-theory of general multivalue methods in Banach space.

Dahlquist、Butcher、Burrage及Frank等人先后建立了有限维空间中刚性问题Runge-Kutta方法的B-理论；李寿佛等人将该理论推广到一般多值方法和Hilbert空间中的刚性问题，进而建立了Banach空间中刚性问题一般多值方法的B-理论。

In Chapter 3, we discuss the other orthogonalities in in Banach space, and give some properties of them. The emphase of the chapter is to study the relations of Birkhoff orthogonality, Isosceles orthogonality and Pythagorean orthogonality, and it is proved that if one of these induces another, then the space is an inner product space.

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The relationship between the two kinds of structure is the important pledge of healthy, comfortable and sustainable humanistic objective for urban enviroment. In allusion to the problem urgent to solve in recent creation, the article summarizes the humanistic design concept and strategy for serried region of high-rise building, from the analysis of the building noumenon, space, interior and exterior enviroment in urban"serried-core". The strategies are form creation strategies which cultivate formal individuality in the relationship with urban enviroment, and conform urban context in the relationship with restrictive factors; space creation strategies which creat humanistic space and site by attempering architectural space and urban space, and call for humanistic scalc and inspirit by the combination of architectural space and urban function; enviroment creation stategies which create sustainable physical enviroment based on steady urban zoology, and construct poetic humanistic enviroment during the course of compound urbar enviroment.

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Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

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