BANACH

作品数：284被引量：402H指数：9
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Local and global behavior for algorithms of solving equations被引量：10
《Chinese Science Bulletin》2001年第6期441-448,529,共9页WANG Xinghua & LI ChongDepartment of Mathematics, Zhejiang University, Hangzhou 310028, China Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China Department of Applied Mathematics, Southeast University, Nanjing 210096, China 
the SpecialFunds for Major State Basic Research Projects (Grant No. G19990328), the National Natural Science Foundation of China (Grant No. 19971013) and Zhejiang (Grant No. 100002) and Jiangsu Provincial (Grant No. BK99001) Natural Science Foundation
The theory of 'point estimate' and the concept of 'general convergence', which were put forward by Smale in order to investigate the complexity of algorithms for solving equations, have been producing a deep impact on...
关键词：BANACH space nonlinear OPERATOR EQUATION POINT esti-mate Sullivan DOMAIN NONSMOOTH optimization. 
Orthogonality in Banach spaces and orthogonal multiscale L^1-approximation
《Chinese Science Bulletin》1999年第1期25-35,共11页YANG LihuaDepartment of Scientific Computing and Computer Applications, School of Mathematics and Computing Science, Zhongshan (Sun Yatsen) University, Guangzhou 510275, China Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China 
The orthogonality in Hilbert spaces is extended to the general Banach spaces and a concrete shift-invariant orthogonal family in L^1(R) is constructed. The corresponding projection approximation theorems and the algor...
关键词：BANACH SPACES ORTHOGONALITY APPROXIMATION multiscale analysis. 
Lipschitz functions on Banach spaces which are actually on Asplund spaces
《Chinese Science Bulletin》1997年第24期2051-2054,共4页CHENG Lixin Shi ShuzhongNankai Institute of Mathematics, Nankai University, Tianjin 300071, China 
SINCE Namioka and Phelps, starting with Asplund’s pioneering work, introduced the no-tion of Asplund spaces (those are Banach spaces on which every continuous convex function isFrechet differentiable on a dense G_δ ...
关键词：MATHEMATICS LIPSCHITZ function Radon-Nikodym property SUBDIFFERENTIAL BANACH space. 
A Generalized Principle of Local Reflexivity
《Chinese Science Bulletin》1993年第17期1417-1418,共2页T.Barton 俞鑫泰 
We prove Theorem 1. Let E be a finite dimensional subspace of X**, let F be a reflexive subspace of X*, and let ε>0 be given. Then there is a linear operator S: E→X such that ‖S‖‖S-1...
关键词：BANACH SPACE reflexivity. 
MALUTA'S QUESTION ON SEQUENCE COEFFICIENTS IN BANACH SPACES
《Chinese Science Bulletin》1990年第24期2025-2027,共3页徐洪坤 
For a reflexive Banach space X, Bynum introduced the weakly convergent sequence coefficient of X, denoted as WCS(X):
关键词：weakly CONVERGENT SEQUENCE COEFFICIENT REFLEXIVE BANACH space Maluta’s coefficient. 
ON BANACH SUPPORT OF AN ERGODIC AND QUASI-INVARIANT MEASURE
《Chinese Science Bulletin》1990年第15期1233-1236,共4页杨亚立 
Project supported by the National Natural Science Foundation of China
Concerning the study of Banach support for the sample space of a random process, the idea can go back to the penetrating investigation of R. Dudley, V.N. Sudaso and X. Fernique, about Gaussian cylindrical measure. Gro...
关键词：quasi-invariant measure abstract WIENER space. 
RANK-PRESERVING LINEAR MAPS ON B(X)被引量：1
《Chinese Science Bulletin》1989年第15期1233-1235,共3页侯晋川 
Let X be a Banach space with dimX>2 and B(X) the Banach algebra of all bounded linear operators on X. In recent years, some authors began to study the general linear maps on B(X), for example, discuss the represent...
关键词：BANACH space LINEAR OPERATOR RANK SPECTRUM 
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