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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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2 @* U5 B0 c% k# @%-----------------------作者定义结束* b) D/ i; O6 ^. G% W' P5 _
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\begin{center}# x+ x) z8 D, n% F8 x6 z+ X
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
+ w/ y$ |8 D Q- |# i7 ~& U! o%\vskip.1in1 y& T8 m" _7 v9 M) n
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
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%-------------------------------------------------------------------------9 ~& v- i; H" Q4 k. [; G
%\footnotetext{}
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%\footnotetext{}! }) x) C, T8 |
\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:8 Y7 s% D. d! u5 S0 j3 j: w, L
国家自然科学基金资助课题(No. 10271026),
' [* o0 [: }+ i( f" S9 o; {福建省自然科学基金资助项目(No. F0310010) ,
: g; l0 L8 J- n6 a: r福建省高校科技资助项目(No. K2001110).}: e3 P3 n y" N
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
6 L- r8 f5 }( M, ~! {\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*5 A) I5 p! ^1 _" i0 _& j2 d
作者现在通信地址.}, r0 p5 o& J X0 \0 n! U
) K1 h$ v$ o# u1 ]' R%-------------------------------------------------------------------------
S; {6 W2 S d%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
4 n3 e0 V" e' a# _%\vskip.1in
3 t b2 J" ?% F( t1 c: V%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}+ |: D" z& Y% E c# b
%\vskip .1in
4 [' U( i0 Z/ h7 x! t4 i6 D\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in7 i4 s# F/ _ q* u* w0 ^
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,% X8 W$ Y3 l# `
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
$ H5 Q% B8 G/ F7 \: D; w\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
% @- z$ [$ {* N* c) J* G( Z& v摘要:}\ \
3 S; Z2 ], V0 B( q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,
0 [, _/ S/ T: g0 H度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
- I( ^6 d( N% y2 s+ {$ }7 g* \4 c5 k6 b6 q0 K
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;4 _( P( q, E0 f' `! b* j+ N
弱开映射; $\pi$映射; 商映射
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& {4 Q8 Z" l1 i& ?{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
: c) I2 A& w; n/ u/ j" a/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
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+ q+ }- g6 X0 W% l8 x, ]% ?0 S %%{\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}# ~+ r' n% w5 W3 p
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5 l% J8 ]$ _: A/ A) L3 n& o\sec{参考文献} \baselineskip 13pt {\footnotesize
1 B4 l" h. ^+ f6 [0 d) V% l, N$ C
7 ]5 U$ s- }, a! _\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a4 J& D5 t! F& ]4 J* i
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.. s* a3 [- D' @, K% D% N, {8 T5 C
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}
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9 d; Y+ P8 [# q8 b, L( G1 `" q: R! v\begin{center}+ N! L8 R' `+ ?* Z4 Z
{\Large\bf Relative Perturbation Bounds for }\\[.1in]2 E) {6 r2 d2 u+ u3 a+ O
%vskip .13in
: D% ^+ \& f4 g1 b ~* ?9 D{\Large\bf the Subunitary Polar Factor }\\[.1in]
, f5 V0 G4 |: |0 A%\vskip .18in! D, q5 L6 L1 e' u& D! K
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]7 K. N% X) c/ O9 k
%\vskip .18in
. q3 ]" Z- O) H0 R: `3 Q" {. o{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
# ?2 I% @6 v: @' C( r! A%\vskip .08in: @1 p) Z; f) n9 v
{\footnotesize\it(Department of Mathematics, South China Normal
5 o! l2 w! g6 o4 u u! a' L% d& zUniversity, Guangzhou, Guangdong, 510631,- S S* v0 Q$ G+ e" y( i. [, @. T# K
P. R. China)}\\[.25in]# Z$ o% m" ~! ^& j
%\vskip .1in
4 m# [( [6 a L0 [%{\zihao{5} Liu Yanpei}
, o- I, W+ h) n) v3 M- c% r8 U%\vskip .08in8 T+ L4 O% w# c# P2 f
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
1 A1 ^+ u$ H( u%Beijing, 100044, P.~R.~China)}6 K6 S! y$ z( ^" \
\end{center}
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\baselineskip 14pt% q1 X- Z" z; [8 ?0 C
6 @1 S; |5 k7 }6 E\zihao{5}\normalsize {\indent{\bf Abstract:}\ \. G3 J+ J/ p7 t- h
, c& w# f% [8 K( b$ x5 d{\bf Key words:}\ \
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