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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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6 d5 T/ b7 u; N. I* O%-----------------------作者定义结束
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/ E5 H& B. j, x5 S! H) ]# ?\begin{center}0 k1 l ^6 i" \( R* H& R3 |0 Y
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}+ J+ D2 f$ |7 c$ \
%\vskip.1in) ^5 f4 G# P& r1 \* k
%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
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%\footnotetext{}
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\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:6 t4 x6 t5 O: y
国家自然科学基金资助课题(No. 10271026),$ P8 k6 `" I; _3 R j
福建省自然科学基金资助项目(No. F0310010) ,6 f$ n+ v" X" P5 n
福建省高校科技资助项目(No. K2001110).}1 x$ A4 z# a5 U3 }, m9 k
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
/ q6 `! Z8 n& ~; G; x. ~\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
d, X: F" V6 l7 a6 e1 k) \. W+ `' L0 e作者现在通信地址.}" o; A4 `* Q% s' q0 Q- ` ^
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%-------------------------------------------------------------------------# S0 I! e" ]' [/ F& R
%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
* g( A* H% ?1 q+ |8 P h# M%\vskip.1in
5 `. T+ _6 Q; _/ B( ]0 ~. O) n9 A%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
2 u) D8 v4 F; t% C$ ^! Y$ J- U%\vskip .1in. `6 g0 Y6 j7 X# q) U0 G1 a
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
* \$ f1 Y% U+ Y\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,3 s2 q+ o4 X! I) z& X
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}9 F" [6 ?" d7 X+ i7 e' D
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
B* E$ T. Y4 g7 w- P摘要:}\ \
! e2 K! N& s& r3 b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,
L% k, R& _5 f; ]; A+ \9 d度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.
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{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
# M/ l$ ~& ?4 G弱开映射; $\pi$映射; 商映射
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* W1 G+ M1 f" Y1 Q{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
! X: m# A, J3 W2 j/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1" t) |6 j0 j8 v$ O5 X
$ Z9 G6 M) E# k K- @ %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \$ M' p6 q6 h# m7 E+ O
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\baselineskip 15pt \vskip.15in
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\sec{0 引言}; e5 G: W6 _' Q/ D2 |5 o: Z
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\sec{参考文献} \baselineskip 13pt {\footnotesize. }* s7 u" s! O% y) {- R9 L
. g7 X! h5 u: \/ ]\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a7 F) w, }$ u! r: T# ]' B
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\begin{center}
1 |6 k0 W9 H( A8 R+ O{\Large\bf Relative Perturbation Bounds for }\\[.1in]: D9 ]" G$ ]. S' r; B4 n( r" f
%vskip .13in
4 w6 |6 T( q/ L# b( g# b{\Large\bf the Subunitary Polar Factor }\\[.1in] B) V, i) \5 D+ G& V7 u: `
%\vskip .18in
$ l7 j3 c" [4 w- l% b6 b{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]6 W L$ Q/ l, P k% f( E
%\vskip .18in
! Z+ K+ G8 o4 H9 i* X, D- Z7 T{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]" N- O7 x @1 j* M* n8 }
%\vskip .08in
- a+ y3 M8 [- V1 t; ]5 N7 _{\footnotesize\it(Department of Mathematics, South China Normal
% ?8 e9 p' M4 o. M7 NUniversity, Guangzhou, Guangdong, 510631,5 j d- L/ g: E3 M8 A5 n9 ]( a" E
P. R. China)}\\[.25in]! P0 v' H2 l- x/ H4 z
%\vskip .1in, L9 `% `& p$ g5 H# C" Y
%{\zihao{5} Liu Yanpei}" c- X5 X: v. S8 F7 k5 B
%\vskip .08in$ v/ r. h# ?7 F; g1 J
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
0 ]. k" Q( O6 Q4 s' ^3 d) w. G%Beijing, 100044, P.~R.~China)}
- E1 W! {4 O3 P3 q0 V6 G4 |\end{center}
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3 r9 Y4 Y" |% r& J, e- I\zihao{5}\normalsize {\indent{\bf Abstract:}\ \8 n* H' u8 D! [+ o# Y7 i
( m1 |$ w2 ^, Y) F+ M1 H7 W7 w
{\bf Key words:}\ \5 ?/ y! ?8 a7 p, W4 U4 Z: x
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}
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