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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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) Z! `, ^4 e$ E& Y1 Y9 |, |%-----------------------作者定义$ O( N% ^1 t6 L- r+ m
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5 j1 V2 l) {/ s) Q% c- Z2 Y' @) F\begin{center}
# u) q* w6 j* s: W{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
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%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}) c# W. Q3 N% S ^1 J
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%\footnotetext{}
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\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:5 c! C: t) ~/ ]6 r L
国家自然科学基金资助课题(No. 10271026),
+ Z6 z9 `; C& g( e" J; f福建省自然科学基金资助项目(No. F0310010) ,3 L, N7 K1 h$ Q' G3 D, h2 B9 h
福建省高校科技资助项目(No. K2001110).}0 K0 ]# X& G' l5 L; Z1 R8 s2 ~
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}8 `6 u0 e% d; b* m( n: o7 |: d
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*9 T5 ]0 H0 q$ ^5 I* p1 N" i5 I
作者现在通信地址.}
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4 W8 C* ?8 c; w+ \%-------------------------------------------------------------------------! E& [# r7 r. u
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}3 s' \/ L/ N- q% P! f+ v
%\vskip.1in- v: `) H8 S3 u6 ]* \
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}) ?5 m. I0 I5 [7 \4 ]2 w
%\vskip .1in, F. }9 e6 J# O0 N: p: F
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in- U' B$ ]) n- J9 ?. ?
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,3 I( i$ S4 N6 ?) k- ?
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}. o7 M3 g. W2 v0 k
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
8 M# Z: q9 l, ~8 `摘要:}\ \5 l' n+ X, _$ h: `
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,$ _. h* O4 O/ h$ ]
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射." x. W" o6 H3 C6 |% U4 T
4 d# _+ ]7 s. r9 N; P9 N& [{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;. q/ M3 Z p& L. E
弱开映射; $\pi$映射; 商映射
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0 h$ }$ X; g0 O8 q. N{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
" N' @# ~7 k6 l" r" C8 O, Z/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1- f) k5 y* K* B- f
n* X# d! K$ V- R. D( X %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \9 E* O) c& R w' g4 b
%% 1000-0917%(2004)02-0229-07
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# D6 z) [; o4 }) H, _\sec{0 引言}
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\sec{参考文献} \baselineskip 13pt {\footnotesize. r9 T' v1 V5 X$ u
0 L+ u2 V) x" X& v2 x$ k
\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
( b2 s. v4 c( |, ~9 ]perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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}
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3 I- Q7 f# \' y% ?* q6 \2 X `" D{\Large\bf Relative Perturbation Bounds for }\\[.1in]# J" _% s6 ], R$ }) d
%vskip .13in
8 q+ J, h+ I# l) d- G. O4 V{\Large\bf the Subunitary Polar Factor }\\[.1in]4 ]- Y/ _6 b1 {6 u
%\vskip .18in V) n; ^8 h9 T( Z5 g5 i
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]( m# _$ G8 [9 q7 I/ a; b% s
%\vskip .18in+ v2 J8 W/ _" S( g0 F
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]: }7 u, W, n. y' r, p
%\vskip .08in
: O: o5 t# `, a! [. \' g{\footnotesize\it(Department of Mathematics, South China Normal
' U1 d3 Y1 Q# k7 Q9 Y$ RUniversity, Guangzhou, Guangdong, 510631,
2 B0 H. A5 C' P) F$ u* O) T7 j P. R. China)}\\[.25in]) O1 X7 b* T8 B1 j5 @ K1 l* a0 \
%\vskip .1in7 t) |( }. H7 c7 F% \1 g& e
%{\zihao{5} Liu Yanpei}. q3 y% a' h& U% k) D1 X
%\vskip .08in) b `: t" V% g! Q0 g$ y
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
: H! N# p( z4 [; V%Beijing, 100044, P.~R.~China)}
E2 j* e3 X3 z0 T; R3 v2 ^6 v\end{center}
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( F: D4 B; y- A, V0 R( ~\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
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, @! N0 D+ p, F" v$ M{\bf Key words:}\ \ ^$ l% f9 G9 R8 e9 E
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}
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