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TA的每日心情 | 衰 2014-6-9 20:45 |
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签到天数: 290 天 [LV.8]以坛为家I
 群组: Matlab讨论组 群组: 2013年数学建模国赛备 |
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# V. c8 h( r5 j! _1 S+ q- E; @9 j* c; a/ G0 E) E8 M( ]* a5 _
%-----------------------作者定义
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{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
5 _2 J! [. `1 H1 P%\vskip.1in A5 ~7 q; l& l; h+ j5 q
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}2 e5 J4 W; `* e8 B) U4 E& A' M
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%-------------------------------------------------------------------------3 |3 B- z; R) `3 \5 G6 E# x* ~
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%\footnotetext{}
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%\footnotetext{}
% k, c0 s4 A& O [7 u8 U0 `7 V8 H\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:, x2 O' O0 D3 ~7 a3 @
国家自然科学基金资助课题(No. 10271026),1 h4 D) m9 p4 f: l G$ c
福建省自然科学基金资助项目(No. F0310010) ,' E; }/ ?# [1 T/ C) _+ M
福建省高校科技资助项目(No. K2001110).}
+ s7 [& Z6 \& a6 q X& B4 }! J%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
# m" `0 u4 s# |5 P' q9 i, L\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*" R. Q* L' q) m$ g) ~
作者现在通信地址.}
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%-------------------------------------------------------------------------
# I( k, m3 [; [- V+ m5 u/ n% H/ e%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
( N3 t4 Y5 K- w$ d& `9 }%\vskip.1in
) U2 v1 T( V4 q3 i0 | W%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}0 X0 f ~! V t
%\vskip .1in
+ E2 Y) v. C. A2 t( g\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
9 d) k7 M6 s* W( N" u1 u u\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,. l& g; g1 ~+ d- P" d- N
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}6 ~3 X4 k) m7 y* I. B7 T
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
* b4 ~, b; `$ z+ z% r摘要:}\ \, \" J& @" F6 S0 L, z
本文的主要结果是构造两个例子分别说明1序列覆盖的商映射未必是弱开映射,
$ V( e4 P: c) N+ g0 q2 p# j$ _度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.6 P% b! S: u+ i
& \$ N% F; w% e4 j; G5 f0 g{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
% o p% ~/ d k/ [弱开映射; $\pi$映射; 商映射
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{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
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\sec{0 引言}# h: S' y* P( u/ d; r2 L: s/ F6 x9 B
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, m( o( m' Y1 B# N* [, s( S\sec{参考文献} \baselineskip 13pt {\footnotesize
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\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
% f' H" y8 d6 r9 {, w' Aperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.- E2 l- l' {* z* X2 ~
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{\Large\bf Relative Perturbation Bounds for }\\[.1in]
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{\Large\bf the Subunitary Polar Factor }\\[.1in]+ h+ |: A$ z4 e) h3 K
%\vskip .18in$ `4 P' q3 ^$ `# p0 \' e S: v% {
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
9 g* G2 [9 X) Z1 W7 d& z+ m%\vskip .18in9 b4 ~0 I* O6 ]- o
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
+ M: s% |) n8 r%\vskip .08in
5 G. j- Z1 w# L! v{\footnotesize\it(Department of Mathematics, South China Normal
8 F9 W( g/ w" o( i/ DUniversity, Guangzhou, Guangdong, 510631,' K0 W% ~% N+ i3 j
P. R. China)}\\[.25in]; w4 Z9 }: p2 V4 A* X6 P- e8 C
%\vskip .1in
]; s% |1 F6 _; F) p! T%{\zihao{5} Liu Yanpei}4 T/ @% K8 c$ n
%\vskip .08in2 M8 X+ p+ v; t- q
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
5 ^' V$ |- V5 k7 x4 Z2 L% y; y%Beijing, 100044, P.~R.~China)}' |' r* F' k* l( m9 `) U* _4 F, z
\end{center}8 K; X' Z7 @- W" Y# U/ v" w
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \, T9 O( ~! t+ C/ ^; Q
5 F+ s/ x' W7 M/ x{\bf Key words:}\ \0 M0 Y2 m, _% h$ {) x
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