度量投影算子 metric projection operator(1) metric projector(0) metric operator(2)   metric projection operator      In this paper, a generalized orthogonal decomposition theorem in Banach space is extended from linear subspace to nonlinear subset-sun set, and the conditions which are sufficient and necessary for an operator to be a metric projection operator and a metric projection operator to be a bounded linear operator are given.      本文将Banach空间中广义正交分解定理从线性子空间拓广至非线性集—太阳集,分别给出了一算子为度量投影算子和一度量投影算子为有界线性算子的充要条件; 短句来源   metric operator      The Single-Valued Metric Operator Part of Linear Manifold in Banach Spaces      Banach空间中线性流形的单值度量投影算子部分 短句来源      The Single - Valued Metric Operator Part of Linear Manifold in Banach Spaces      Banach空间中线性流形的单值度量投影算子部分 短句来源   “度量投影算子”译为未确定词的双语例句      Properties of Metric Projection in Banach Spaces      Banach空间中度量投影算子的性质 短句来源      In this paper, geometric method of Banach spaces and metric projection oprator are used to give three types of Moore-penrose metric generalized inverse and to prove the equivalance of the maximum Tseng-metric generalized inverse and Moore-Penrose metric generalized inverse.      在Banach空间中,利用Banach空间几何方法及度量投影算子,给出了Moore-Penrose度量广义逆的三种形式,证明了最大Tseng度量广义逆与Moore-Penrose度量广义逆是等价的. 短句来源      At first,some equivalent conditions are proved by duality mapping. Then the linear property is studied in reflexive,smooth,rotund Banach spaces. It's shown the metric projection has directional derivative at every point of a closed convex subset in reflexive,smooth,rotund Banach spaces with H property.      本文在一定的Banach几何框架下讨论了度量投影算子的若干性质．先利用对偶映射给出了投影算子的几个等价条件，然后利用等价条件讨论了自反、光滑、严格凸Banach空间中度量投影算子的线性性质和投影算子在凸闭子集中的方向导数等性质． 短句来源   相似匹配句对      Properties of Metric Projection in Banach Spaces      Banach空间中度量投影算子的性质 短句来源      P—C. OPERATORS      P—C.算子 短句来源      M-Laplacian on Metric Space      度量空间上的m-Laplacian算子 短句来源      The Single-Valued Metric Operator Part of Linear Manifold in Banach Spaces      Banach空间中线性流形的单值度量投影算子部分 短句来源      The Single - Valued Metric Operator Part of Linear Manifold in Banach Spaces      Banach空间中线性流形的单值度量投影算子部分 短句来源 查询“度量投影算子”译词为用户自定义的双语例句     我想查看译文中含有：的双语例句 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法，我们为您准备了出自英文原文的大量英语例句，供您参考。   metric projection operator The Lipschitz condition for a metric projection operator in the space C[a, b] 例句来源       It is proved that the metric projection operator onto a finite-dimensional Chebyshev subspaceM ?C [a, b] locally uniformly satisfies the Lipschitz condition on the SetC[a,b]M. 例句来源       Also a problem of the isotonicity of the metric projection operator is considered. 例句来源         metric projector Approximative compactness and continuity of metric projector in Banach spaces and applications 例句来源       It is known that if C is a semi-Chebyshev closed and approximately compact set in a Banach space X, then the metric projector πC from X onto C is continuous. 例句来源       We prove that the semismoothness of solutions to the Moreau-Yosida regularization of a lower semicontinuous proper convex function is implied by the semismoothness of the metric projector over the epigraph of the convex function. 例句来源         metric operator In this paper we demonstrate the equivalence between the equation of the relativistic harmonic-oscillator model and Born's quantum metric operator eigenvalue equation. 例句来源       Born's quantum metric operator and Yukawa's equation are used in the context of a recently proposed framework for quantum space-time to arrive at mass formulae for integral as well as half-integer spin exciton states. 例句来源       A connection between string theory and the geometro-stochastic method of quantizing gravity is derived by applying Born's concept of quantum metric operator to massless exciton states. 例句来源       The baryon mass spectrum from Born's quantum metric operator 例句来源       InteractionS-matrix elements, calculated with the metric operator, are shown to be equivalent to those of the conventional theory. 例句来源       更多                    In this paper,some proerties of metric projection are discussed in Banach spaces.At first,some equivalent conditions are proved by duality mapping.Then the linear property is studied in reflexive,smooth,rotund Banach spaces.It's shown the metric projection has directional derivative at every point of a closed convex subset in reflexive,smooth,rotund Banach spaces with H property.             本文在一定的Ｂａｎａｃｈ几何框架下讨论了度量投影算子的若干性质．先利用对偶映射给出了投影算子的几个等价条件，然后利用等价条件讨论了自反、光滑、严格凸Ｂａｎａｃｈ空间中度量投影算子的线性性质和投影算子在凸闭子集中的方向导数等性质． 文摘来源          The concept of Tseng-metric generalized inverse of linear operator in Banach spaces is introduced in this papert by Tseng Y.Y, a student of E.H. Moors, for Hilbert spaces generalizing that defined. Unlike the case in Hilbert spaces, the Tseng-metric generalized inverse of linear operator in Banach space is usually homogeneous, and nonlinear. By means of the dual mapping and geometric properties of Banach spaces, the necessary and sufficient condition for existence of the Tseng metric generalized inverse is ...             在 Ｂａｎａｃｈ空间中，利用 Ｂａｎａｃｈ几何方法及度量投影算子，将 Ｅ．Ｈ．Ｍｏｏｒｓ的学生，曾远荣（Ｙ．Ｙ． Ｔｓｅｎｇ）在 Ｈｉｌｂｅｒｔ空间中为线性算子引入的 Ｔｓｅｎｇ广义道，推广到 Ｂａｎａｃｈ空间，引入 Ｔｓｅｎｇ度量广义逆（此时的 Ｔｓｅｎｇ度量广义逆一般为齐性算子，而非线性算子），利用 Ｂａｎａｃｈ空间对偶映射与广义正交分解定理给出 Ｔｓｅｎｇ度量广义道存在的充分必要条件．讨论了最大Ｔｓｅｎｇ度量广义逆在最优化，控制论及微分方程不适定问题有着直接应用的一些基础性质． 文摘来源          In this paper, geometric method of Banach spaces and metric projection oprator are used to give three types of Moore-penrose metric generalized inverse and to prove the equivalance of the maximum Tseng-metric generalized inverse and Moore-Penrose metric generalized inverse.             在Banach空间中,利用Banach空间几何方法及度量投影算子,给出了Moore-Penrose度量广义逆的三种形式,证明了最大Tseng度量广义逆与Moore-Penrose度量广义逆是等价的. 文摘来源   << 更多相关文摘         相关查询: 投影度量 度量投影 投影 度量 单值度量投影算子部分 拓扑度量 曲面投影 无理性度量 次投影 投影完备性 凸投影 投影色  对查询结果不满意

CNKI小工具 在Springer中查有关的英文论文 在知识搜索中查有关度量投影算子的内容 在数字搜索中查有关度量投影算子的内容 在概念知识元中查有关度量投影算子的内容 在学术趋势中查有关度量投影算子 的内容

CNKI主页 |  设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务

2008 CNKI－中国知网

京ICP证040431号 互联网出版许可证 新出网证(京)字008号 北京市公安局海淀分局 备案号：110 1081725  2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社