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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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%-----------------------作者定义
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3 N3 k6 r/ c. m( D%-----------------------作者定义结束
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\begin{center}
0 O# {) o: W$ l{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}3 z" ?5 t- }4 u
%\vskip.1in" X; I* B' b1 Z2 T1 G
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}: [& B3 }1 a7 f A9 B4 j3 e! E
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\vskip.12in
) K/ s U- Q U0 x%-------------------------------------------------------------------------
+ _' f0 i0 t# B0 ?/ a( E0 E6 }6 p%\footnotetext{}
+ |; e! `. Z( }0 d' R+ @%\footnotetext{}5 k0 l1 |; c6 s) }* T
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%\footnotetext{\hfill\thepage\hfill}/ U3 z" f) h' `6 L, f: V' a) h) ^
%\footnotetext{}. m7 q: d1 v* M9 Q3 A% _0 S
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:* D# X: r" n% q
国家自然科学基金资助课题(No. 10271026),4 Y* K0 Z9 L6 h2 [
福建省自然科学基金资助项目(No. F0310010) ,$ g; b% d) H! U+ c% G5 f9 C* M
福建省高校科技资助项目(No. K2001110).}+ R$ n" Y) V) O% m# |1 g9 x( z
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
/ `7 v4 R2 l* q! i% `\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
: x* h* j$ J6 G) `8 q5 Z' z作者现在通信地址.}1 l3 p) x: `4 L1 h$ f9 M
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%-------------------------------------------------------------------------% i& [4 `7 q+ U
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}7 F0 H. I7 F4 X0 K F1 {4 T
%\vskip.1in
. \# J& s+ A# P5 h%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}" p( N2 U3 g' ~/ s+ }- j6 p; Q
%\vskip .1in
0 O n; V. |* Y" ~8 F- C" K\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
# |* n! n# ^. `6 A. P\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
4 k2 [! z8 M- W. m2 W! ~5 |; @, @363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
+ j: ~! n9 L, I! q\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti3 ?; W7 C. Q6 `: V. a
摘要:}\ \3 \7 C |2 g5 \8 U$ E
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,
8 k6 d* y5 s# z2 c) v度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
( v" ~" H! k. Z) J+ Q( J z/ L5 v4 f- l9 H* B
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;9 ~4 f0 m& E# U ~5 W8 ]! l
弱开映射; $\pi$映射; 商映射( W) U: n' A; a" S3 o5 Z2 x1 i
# u2 w! H9 B) a/ z- }{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40. L) [5 e) M+ C) }2 a9 ~$ Y0 q. Z
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.16 R: u+ ?2 I6 q5 c) W
0 I6 l) r- g, D: ~9 Z) t+ A %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
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\sec{0 引言}+ w! x$ K8 k6 Z7 ^' m2 a
J/ \4 T; ~' c ?
; D' V1 ]. f! Q1 `\sec{参考文献} \baselineskip 13pt {\footnotesize; f: Y4 s9 i, R3 ^
- Z. H' {; d1 S- V' q$ ?\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
$ N" Y* ]' C' {- _0 y2 Aperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
% `1 o! S; x& ~* f8 G/ N7 W! S* }$ @2 e8 s
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\begin{center}
+ f7 }: V- F( \0 `( z{\Large\bf Relative Perturbation Bounds for }\\[.1in]' R) B- m( s/ ~" O
%vskip .13in. x4 C) I$ {" f0 L- G/ ]' q
{\Large\bf the Subunitary Polar Factor }\\[.1in]
{) l; k! `/ d%\vskip .18in) j1 e( O6 M9 n: h" ]2 h% P# R
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
5 d& B, N5 R8 u, e! _%\vskip .18in
: K' [& Z7 o+ t- Q2 Q' V0 [8 ?6 c2 e4 h{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]# {+ P! T4 R7 M. K3 l( S
%\vskip .08in
3 t& c: C8 t g& _) H3 T+ o Q{\footnotesize\it(Department of Mathematics, South China Normal6 O& T* Q7 V2 b9 U
University, Guangzhou, Guangdong, 510631,
4 i# ]4 c; G# G: G. A P. R. China)}\\[.25in]
% V/ d2 l; q# X% g) R! B%\vskip .1in. N. C2 g% H( V( w7 L( q# h+ \! \
%{\zihao{5} Liu Yanpei}
4 y8 R' v7 R+ ^%\vskip .08in
: L; U7 ]* n( w7 P8 s9 _: k5 S%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,: f9 R v. j( n& M
%Beijing, 100044, P.~R.~China)}$ a' g6 e& ?' [6 f
\end{center}+ c9 x, H$ {5 \
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\baselineskip 14pt1 A, m) A- K2 ^2 [4 G
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
6 O5 {! i; Y/ ?& K% y+ C2 H7 f
( c5 o6 j( U) E2 O. q" K{\bf Key words:}\ \, `) t! x/ C4 M) m+ X
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7 l+ e$ R% c+ K D5 `}
9 c! ]# g/ `+ c8 A\end{document}
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