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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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\begin{center}
2 y9 D8 L1 e& Q& Q* |0 v{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}: Q7 [8 Q& \0 w
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%\footnotetext{}5 Q9 [4 O$ ]2 B( M
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
. Q' [; I1 \! @ Y. t# G国家自然科学基金资助课题(No. 10271026),
6 C+ @, {5 v2 l& Y$ M; Y福建省自然科学基金资助项目(No. F0310010) ,
/ v) W n3 O- `% V8 N' g; L福建省高校科技资助项目(No. K2001110).}- X+ `6 S& \. c/ q5 a
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
9 X4 {8 `# T: G1 r: ~. J) b4 U+ b\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
3 {2 F1 K7 u+ [4 [# r) c作者现在通信地址.}4 Y7 ^% m) a) T$ i
4 ^& f' c9 ^; m4 F7 I%-------------------------------------------------------------------------
) `( }9 v- t7 A/ U' w n%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}7 I/ Q- f6 ~8 j2 k
%\vskip.1in
. m$ c( {) D/ r* X# `) q%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
$ S& d* H( _$ b9 i%\vskip .1in! U) i7 A2 p& }0 Y3 a* e2 l- L
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in! w! |' p6 Z, f# Y) A
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,/ E7 ^% _. A: ~' \
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}) b$ V; F! z1 h* c: D
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti7 G; ^: V1 j) L
摘要:}\ \
$ \9 a4 H& A; q g( x' r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, M- F7 @0 m2 w, t: ^' R1 H
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.2 C0 S5 i. A: H/ ~8 W- H
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{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
# r3 `/ t, [8 {: }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}7 V. J) `- @3 P+ ~0 L* B+ m
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\sec{参考文献} \baselineskip 13pt {\footnotesize8 v& v q, N4 p4 K
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\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a& p7 y1 W4 x" F" D. c" d
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46. O% p( {! v" m; B- P3 s
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\vskip .25in
# l2 ] {- A3 h$ u$ C\begin{center}
. I+ f- V/ Q) J" |( s6 j{\Large\bf Relative Perturbation Bounds for }\\[.1in]
% f N# Y, w5 U s0 }, U%vskip .13in8 g1 P$ w+ I3 W9 D' N2 E- t e8 ~
{\Large\bf the Subunitary Polar Factor }\\[.1in]
+ j- X* w4 @' v%\vskip .18in
/ f) x- t9 |! d5 s [8 L{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
0 K7 j$ x! e. \( v) }5 o%\vskip .18in
2 ]; T8 O- k, y{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
! W* S9 O5 e; t; O, e%\vskip .08in
3 _4 l6 G4 S& i. ^{\footnotesize\it(Department of Mathematics, South China Normal
n; t0 V# z6 q" n# WUniversity, Guangzhou, Guangdong, 510631,. s1 f i1 C2 [
P. R. China)}\\[.25in]
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%{\zihao{5} Liu Yanpei}9 C9 k' w2 K3 t R1 k
%\vskip .08in
8 c& ^" t2 s. _, ^$ r8 r% O) J%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,# ^; A/ Q) }% |/ S) S9 L. O
%Beijing, 100044, P.~R.~China)}
7 Z; D5 n T" ]9 z5 v! x5 h3 @\end{center}+ m8 S, ~! e; O" t
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\baselineskip 14pt4 P" X F- L8 q7 S: |) ~7 R" y
) Y& \" k9 V. X8 i# A\zihao{5}\normalsize {\indent{\bf Abstract:}\ \+ q9 f3 Y G( w- O) |2 Z h
) ]. S$ B- Z/ k, j( y) c/ ^/ f) e{\bf Key words:}\ \
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