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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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%-----------------------作者定义
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\begin{center}6 v0 p) ]4 l$ k
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
% O/ L+ | P$ Y$ C n%\vskip.1in
. _ b/ q5 T( e; Q4 N: X7 ^& E3 ?%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
; \+ M/ L4 ?0 J T# T, j\end{center}
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+ x; o+ ? c& d6 }* K3 ~%-------------------------------------------------------------------------
1 `+ e6 Z! Q3 D9 j9 G/ b6 I%\footnotetext{}' T. M. E6 u4 y5 d
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%\footnotetext{}
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%\footnotetext{}8 t( Q5 S8 t" _- \ c
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
2 v% T. H' J0 }国家自然科学基金资助课题(No. 10271026),
5 ~* n q% J* c+ `4 t福建省自然科学基金资助项目(No. F0310010) ,2 V/ h% u( q. {! k l
福建省高校科技资助项目(No. K2001110).}
1 K' |8 \0 r# a( X4 V0 \%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}( `: D( C) E( P2 j0 s
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{** O& s. R8 ]9 F# B, X6 e2 e
作者现在通信地址.}
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%-------------------------------------------------------------------------
3 E3 t1 f2 w, K7 i0 y# s%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}/ W, R( W! S5 Q$ X% _
%\vskip.1in1 n# [* B% w( d/ O
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
6 B# M2 _" Z% k C' A6 `%\vskip .1in
+ q2 ]8 G% F8 X; a! c\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
# B/ O3 m* S% g1 h0 n* {* U\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
9 {- y/ f) M8 I# `% t363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}" B5 D* b# F/ @# S/ I; w' J
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti+ Z. \ J' V! J5 J
摘要:}\ \& e9 G+ S) x9 X( 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,
- Y: a0 z7 ]; S- W& a度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.: ~5 v9 }0 K1 H, M& d, f" @
: `! K$ N: f! k6 w$ }& j* T/ P
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;# d* O+ C5 o2 N! z9 s5 G! G
弱开映射; $\pi$映射; 商映射+ m7 x( e& [* \. b
/ d; S& z8 J- g$ T8 G! ^{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40. r8 K" q% E, K2 n
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1- C4 u4 M6 V5 j' X& ~2 i) J
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%%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
4 y9 K9 e2 `0 Z%% 1000-0917%(2004)02-0229-07! C- T2 d! `/ ~9 [* Y
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\normalsize
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( w8 m y* ?+ B\sec{0 引言}
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- d8 @% Q- u# M; _4 A\sec{参考文献} \baselineskip 13pt {\footnotesize# X h+ n6 _8 n; O9 S, @
: l8 l+ X7 K; k4 C\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
u# D5 c9 P0 Z0 A' W6 S& g& \1 I7 wperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.7 [( G9 y! q4 ?, V
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\vskip .25in/ i2 w$ c' y/ Y9 c; v3 ^9 ~
\begin{center}
5 s# } |$ j, e( C, [{\Large\bf Relative Perturbation Bounds for }\\[.1in]4 E: m: @5 D4 Q* w4 N
%vskip .13in, I# t: `! `8 W6 {
{\Large\bf the Subunitary Polar Factor }\\[.1in]; q3 J" F+ @4 P$ W* I4 v
%\vskip .18in
; o& @: j- |# _, i{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]5 d7 V1 D7 S! E
%\vskip .18in
0 q& B) N" j% F; _& X4 {{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]- _( C, ^/ v0 F ]" b8 B( ?5 [
%\vskip .08in
9 r, X; u! h' p' R/ ?$ Q9 e2 W{\footnotesize\it(Department of Mathematics, South China Normal
7 c+ d2 F" w0 u \/ m* J# `1 R9 eUniversity, Guangzhou, Guangdong, 510631,
: O% U5 G8 t3 b& ?6 } P. R. China)}\\[.25in]
# H# B ?( j9 C4 s%\vskip .1in% o8 e: P* C" \
%{\zihao{5} Liu Yanpei}
?* S. J ?4 }9 X5 T/ Z$ _%\vskip .08in7 f# o5 \1 c/ I
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,: p- x$ x6 q) ]9 E9 _
%Beijing, 100044, P.~R.~China)}) @2 [. q* e& a' ?
\end{center}* |4 ]2 d# I% ]2 c% g7 H) ^* m2 \
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\baselineskip 14pt, z, h+ o: `2 q) L$ B( u
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \" y7 P& b( ~# ^2 @- O7 i! i
4 w7 ^" J* L4 ^) i{\bf Key words:}\ \- }8 e- \# \8 J
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