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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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3 U/ d1 v2 S& c4 c%-----------------------作者定义6 k) p- x: K) w' ~9 H
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i6 d- |, e, F) ^5 b+ }, z" G%-----------------------作者定义结束
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\begin{center}
3 s2 G" a% T) z: V: _$ Z{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
% V3 L) ^, u/ b, r4 ?. K%\vskip.1in
9 N' H9 Y6 D! l0 Y9 |%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
2 c& E* L1 |7 J+ N- [! A9 Z\end{center}
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%\footnotetext{}& v9 O0 e, X& o( {" Y
%\footnotetext{}
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%\footnotetext{}% ?# J) q' H" I
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:! R/ v7 ] Y- O1 S( A& U$ n, g
国家自然科学基金资助课题(No. 10271026),
V6 C. t: a" ?$ r% }/ I% j" I5 w5 M福建省自然科学基金资助项目(No. F0310010) ,7 T8 I. u$ n9 x: X- B! B
福建省高校科技资助项目(No. K2001110).}
) E" r0 W; N } K8 N$ R( J%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}+ y% o* `! G' [8 P
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
5 o4 m# D; I" k) M) X作者现在通信地址.}
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2 K, J6 L% i/ ` v7 g6 a, \%-------------------------------------------------------------------------; j* F: k8 H) v* G) n3 K7 W
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
# y0 `* S+ w& J( c6 f. K%\vskip.1in% x& p: V) @" c/ @+ A; m9 J
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
( F' ~. d" k" L& F% \$ |5 i%\vskip .1in3 I: s" G! K( N( r8 d `
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
6 Z% T) d8 {) Z8 [$ g {\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
, T8 D5 I! W2 Y2 `+ \' t( ^363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
6 x: g* X* x& b- f\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti, G! g+ ?( o0 t) x- e2 Q
摘要:}\ \; K! S- A9 c+ j1 a
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,
/ p$ E, ?$ U X5 Z: x B3 p度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.4 s* k. ?" T8 p f9 d, s
) l8 m0 f! \# M1 }" O! R% ^+ d( s{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
( d2 A4 |* N2 h! J% p* b弱开映射; $\pi$映射; 商映射
1 @7 b: g7 B/ ^
" V- P1 t2 f1 o Y* M{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E404 r0 [/ ]. v( F( h, L8 K
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1# `1 w1 t; z' i5 b% l% V
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\sec{0 引言}3 T+ [( C2 I: H- X6 T$ y# e; _1 P
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2 n8 X( i' e& J. ~$ l" l" W3 b8 j\sec{参考文献} \baselineskip 13pt {\footnotesize
6 d7 e: h' x8 R: y) t' Z& Z" @ g3 p) y# k: u, E" A
\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
5 w" j1 a6 V( C7 z! ~ n. @) A. Nperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\begin{center}1 q# j, k8 R3 y/ P; U
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
) R3 D3 O3 K& t! B: T( L+ e%vskip .13in) R" f- r; o" u5 S5 n6 O- t
{\Large\bf the Subunitary Polar Factor }\\[.1in]
3 w- [+ f, _) L* g. D* r%\vskip .18in: O! `2 ~8 K2 y+ R# M2 \9 K. t n
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
/ X2 v* V4 f$ `0 @/ Y* d%\vskip .18in
( Y4 g7 s8 u, h7 w& h, T$ [$ p) e{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]. }4 f$ k% J, y: J' L% S
%\vskip .08in
( f, r$ l( N8 X& p, a% D1 n2 a{\footnotesize\it(Department of Mathematics, South China Normal
' B0 W' \+ b, y( P4 F8 C/ d3 n* NUniversity, Guangzhou, Guangdong, 510631,, ], l! U5 d5 z" F7 I6 T
P. R. China)}\\[.25in]. I8 I- }& v( P! p8 U$ i
%\vskip .1in, J+ D$ T' K \/ _2 c2 a8 ~
%{\zihao{5} Liu Yanpei}
7 N1 m1 E4 U, i8 D- Z* I- P( R%\vskip .08in
S/ b4 Y4 h: I. ?%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,8 _: r8 O! R7 R+ d; S0 U+ S' |
%Beijing, 100044, P.~R.~China)}
5 A% L7 _9 Z- [! y\end{center}
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: N. P9 V& W' N8 j! ?+ J2 r\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
c$ B% @# y- c/ _' _/ G2 H5 y, J2 {
{\bf Key words:}\ \
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