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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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~' {+ B& P6 M8 t# R%-----------------------作者定义
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5 S) r6 ?; ?- Q! T, q4 @7 z7 R0 ?\begin{center}2 _+ ^2 C( O: L# }, _1 R' m
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}+ r* a- C8 @ n+ i+ |
%\vskip.1in1 b2 }( ] b% l% \
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}; \+ O3 F. B" A! H8 H3 Q0 ~ Y" A
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%-------------------------------------------------------------------------
7 \2 k( f$ O9 T9 l8 S5 m7 G%\footnotetext{}
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%\footnotetext{}( Y$ k0 K8 v1 R$ O/ x0 `
%\footnotetext{\hfill\thepage\hfill}
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\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
7 ^! l, @) J7 e8 D2 [国家自然科学基金资助课题(No. 10271026),
( g1 E. {5 ~9 N9 I* S" F/ t. }福建省自然科学基金资助项目(No. F0310010) ,* ~$ A: K5 a0 ~/ I' T5 E
福建省高校科技资助项目(No. K2001110).}3 F2 N6 k% y9 ^6 ^4 `9 u
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
) g+ A o% v+ H3 B7 u\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*2 R6 m: v$ s# X! J
作者现在通信地址.}$ C8 z% {& G; b- k: y
6 z4 ~2 I% V3 L; [) V%-------------------------------------------------------------------------
4 P: t8 a. T5 j1 l7 ^& X4 A- l%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
) N4 s+ X: o. G, k6 j. x3 ]# l%\vskip.1in' b( L9 j0 r; D
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}% y) z1 i! @; f. a" u% ^6 C4 x
%\vskip .1in. a$ `& F- D ^% ~( M! l
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in) Y* Y2 u' X. P$ a2 J0 p+ d$ P' v
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,% }3 f/ I' q# d) t; s0 [
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}: j& o& R F! Y( K7 @% h
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
) D V+ P( `1 e! ] @6 V" x摘要:}\ \3 }4 p5 G/ X- g
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,
0 z6 X! i1 P. y1 ]3 i1 P7 y( e; e度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
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4 R8 I1 Q& m& m8 t9 x. s0 H! l! n* |$ k{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;+ A9 A$ Z7 ~9 v- }6 S
弱开映射; $\pi$映射; 商映射4 s8 X6 P* A9 m \
, d& D3 N0 w- I* F/ O4 Y{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
+ x9 U0 ~# W7 N/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
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; d( b; @! i5 N\sec{0 引言}
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( {3 G4 W3 V O* e. G( V( U\sec{参考文献} \baselineskip 13pt {\footnotesize
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; e# x8 p; c% ?7 G; q* E2 Y }/ T8 j\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a/ N$ M! N1 h) h8 m% c2 m
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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# d" w z Z8 L3 r\begin{center}
% p, g, b& Q6 F- ^( Q% M: S1 |{\Large\bf Relative Perturbation Bounds for }\\[.1in]
7 K" K" H8 ~: S3 u( `" W9 o%vskip .13in2 q9 b% Z+ a1 E( {& I( x) `
{\Large\bf the Subunitary Polar Factor }\\[.1in]; D8 K4 }+ M3 g* q: E8 }
%\vskip .18in# F0 U6 n2 T; e, P0 J" g
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
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1 k2 ]3 u$ w$ k. C1 Q% n% C{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]: a) {+ c6 C( L2 e; F
%\vskip .08in0 s/ Z' B( n: ]% C3 v, L+ s
{\footnotesize\it(Department of Mathematics, South China Normal2 d! B4 l+ t+ ]* L) S* |$ s- T
University, Guangzhou, Guangdong, 510631,
/ w7 X# _2 L+ Z, q8 r P. R. China)}\\[.25in]2 B" E* u3 g6 t* F- A8 H
%\vskip .1in
1 d7 [- e0 F3 Q. d) e%{\zihao{5} Liu Yanpei}: ^- \; i/ z: k' l
%\vskip .08in3 h0 J; z1 F, }
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
6 O/ g( Y* ~ a7 E, k%Beijing, 100044, P.~R.~China)} I6 _' n% t b( A; t$ P2 ]+ q
\end{center}
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \$ V3 [8 T" T/ ^" F0 r1 u) A1 _1 k
5 Z; @: E+ G& D" e
{\bf Key words:}\ \$ `, Y m! ~8 F& I+ s
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