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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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, u9 W7 w1 H7 q# A& @: \; \\begin{center}" ?" A4 K' l3 |" Z! b" h, C
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}1 o- p H2 |; w, ?2 D# |4 I
%\vskip.1in' L, j+ }4 J7 H, f9 I7 t
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
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. y$ ?; X, w$ s7 N6 r* y; @%\footnotetext{}' m9 Z) B0 K3 M% w$ E( a+ U
%\footnotetext{}
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%\footnotetext{}" S; h: C) a' W- {1 N3 J
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:& O" X7 d% e0 ~* V, q8 ~7 ^+ |
国家自然科学基金资助课题(No. 10271026),7 s( [' m' u8 J' ?
福建省自然科学基金资助项目(No. F0310010) ," T' `1 i0 V! l
福建省高校科技资助项目(No. K2001110).}
2 X+ g* k( Y0 f! C9 s. A- A%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}, n7 i8 h" p" _- B! q( y
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*& W t' g# F, \) `, T1 N4 x& N
作者现在通信地址.}
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4 a, g$ a- {4 s+ m( e. I$ |& g/ N%-------------------------------------------------------------------------( l+ H7 ~5 T& f4 \0 D1 H; M7 e
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
' ^- \9 y% X. G3 K7 A%\vskip.1in
6 ^ R' l* G- x v* r%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
) i% e" O. f' M" m" a%\vskip .1in
2 i- h8 [2 ?0 H) n! ~+ g\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
- ~6 w% X# x( }1 p. d Q\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
" Y; M6 \0 T; a% f k363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
# [7 M6 H0 e/ T& n1 u! w# I; l\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
: ^7 K* M7 e4 y7 Y) R! S摘要:}\ \
+ O$ V1 n) d; v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,
3 [ p! S: v1 m4 H) f: w度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.# k' w3 s- l$ ^% G e( e6 }' S
: ]- ?+ n2 J/ N/ `, _% ?$ g{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;: B8 A9 t7 _5 Q) f2 c
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; 54E401 ^, d. b8 w( P- y) O$ W9 Q, {
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# R- [3 }" C+ I+ q4 K3 X8 ^ %%{\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}
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\sec{参考文献} \baselineskip 13pt {\footnotesize
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" Q9 H- ]2 Q3 s' a\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a1 o. c3 Y" ]+ v! d0 {
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\vskip .25in
! \) Y7 [) F6 q' e0 _\begin{center}# D# y; h) G* G0 D }5 y7 X) c, N% \
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
s" N0 i0 {' b/ Z5 D3 I% n%vskip .13in8 u# v2 V% ?& Q9 Z& s; q" k
{\Large\bf the Subunitary Polar Factor }\\[.1in]
6 X, p0 G+ z. L1 E) }%\vskip .18in
- |0 c8 n2 h) L* M$ v# q6 B Y{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
' d( e+ g$ N0 G0 b* y8 ?%\vskip .18in1 {" U. z; x% l# ]( R: y5 }' S
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]3 M4 g+ P% K% ]/ N
%\vskip .08in
9 D6 k# I! s7 }! ^* Y# I. ?9 c" Y" r{\footnotesize\it(Department of Mathematics, South China Normal
, Y5 U) C6 _- ]$ ^4 sUniversity, Guangzhou, Guangdong, 510631,
3 Q% I# T3 e4 T P. R. China)}\\[.25in]
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%{\zihao{5} Liu Yanpei} P% D: u0 U I' f* u+ `2 l
%\vskip .08in
& V9 |! h' ~! [3 K6 w! S%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
! |8 ^- m9 Z( k* D%Beijing, 100044, P.~R.~China)}
8 ^; B. D" m' P+ r" G+ `; i2 C' k\end{center}
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. i; r9 b* e# X\zihao{5}\normalsize {\indent{\bf Abstract:}\ \' X$ S$ E$ }7 q5 ?1 x, v
& I5 e( I7 L3 F* ?0 M{\bf Key words:}\ \) g0 \! S+ _4 ~* T( y
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