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TA的每日心情 | 衰 2014-6-9 20:45 |
|---|
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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! b5 p4 I2 e( t%-----------------------作者定义
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\begin{center}* j& O; W& @) b& H3 e& R
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}8 K2 \) W, R5 k9 {% \
%\vskip.1in
5 J4 ~- R( H! O) e%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}4 x9 `) \) [* y% P& c
\end{center}
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%-------------------------------------------------------------------------9 K8 w* \& T% j8 |* O" C
%\footnotetext{}
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6 _* ^5 s1 @+ X# b+ n\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:9 N: |& r3 N! ~- }& |1 R
国家自然科学基金资助课题(No. 10271026),5 q( R, M8 N5 }* y
福建省自然科学基金资助项目(No. F0310010) ,
' k2 `1 D8 e3 s. J4 [0 F" h福建省高校科技资助项目(No. K2001110).}6 C0 M8 Q5 j" s2 T) [( `! ]
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
$ F2 w' a- ?5 \# w1 ~7 w\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
- s) C1 c0 e. A2 R2 J+ q作者现在通信地址.}/ `5 c1 l9 H. s$ y" L4 Q
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%-------------------------------------------------------------------------
+ {- r( N* n& |9 f& }( `! Z3 o7 X' h7 S%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
' k F' G; {4 @6 y%\vskip.1in
3 A! ?# h$ \' x6 P m5 t6 }/ N%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
5 K$ t/ t) {& c* x/ S+ d/ W" J%\vskip .1in
8 P: j7 Q, B2 Q! C( R\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in8 H6 H8 ~( R) P0 m, n- s
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
5 R# i9 q: x4 o363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}$ m' h7 Y1 Y) G- U* z
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti2 @3 k7 z) w0 z' @
摘要:}\ \
" b! @7 O4 Q$ m- s T! U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,( j4 D$ k: J! S: v# b, R
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
1 f) b; ^3 Y' M# E1 I# G4 c& ]* p# {* l$ A9 k3 P
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;' n+ V7 G& E/ E3 X8 V/ h0 _
弱开映射; $\pi$映射; 商映射
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/ F. E" h6 [' y. `- o{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E409 S5 Q) o) c" K" X# |
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1 y; h0 d; P, h! H
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\sec{0 引言}) i% d2 `* _/ B: ?- p9 H/ q
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\sec{参考文献} \baselineskip 13pt {\footnotesize8 |5 i$ ]2 m- X* u! g
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\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
4 j: ?0 B" G8 [) Lperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\vskip .25in
4 i' |& ?9 ]' r# t5 K/ {2 m\begin{center}- {) Y" a" \ h( p7 H
{\Large\bf Relative Perturbation Bounds for }\\[.1in]0 D+ l! d* G6 m% v5 N: N
%vskip .13in# \4 t- D4 F9 o& ^( v
{\Large\bf the Subunitary Polar Factor }\\[.1in]9 g0 P2 K; l# g, z* }
%\vskip .18in+ x* G3 y, p% y0 g7 c
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
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{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
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: r) a" j) Z+ U4 o; ]0 I6 ]+ X3 K{\footnotesize\it(Department of Mathematics, South China Normal
6 D4 I: l b$ G9 m9 U- ^. b/ j lUniversity, Guangzhou, Guangdong, 510631,
5 y0 \1 x( }8 {0 b u3 M7 X8 b P. R. China)}\\[.25in]3 t0 u4 V7 \2 ^7 y+ ~2 i
%\vskip .1in
6 c7 Q+ T" d9 d" i%{\zihao{5} Liu Yanpei}
1 k& H/ D( J7 B- f6 ~%\vskip .08in
$ X+ j# _" M: d3 D: L! \( K1 e%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
* L0 Q; ?$ B" v1 \9 u%Beijing, 100044, P.~R.~China)}! ~( X5 \7 N6 T, r9 I' h
\end{center}
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \9 t/ P% S* l4 _3 M7 N
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{\bf Key words:}\ \0 n( F! N+ S9 `* r0 ?
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}
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