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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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}\hfill}}
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\begin{center}
/ T- p' w% z# G0 }{\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}7 y' D; ?! ]! i" }" l8 m
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1 y4 x, w* t1 v%\footnotetext{}
/ w G* O% X" C& z8 Z\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
2 {% J6 h5 \* |! q2 _& q2 D国家自然科学基金资助课题(No. 10271026),( J9 F+ t: H( m+ n$ o
福建省自然科学基金资助项目(No. F0310010) ,
, x3 q5 n0 g7 E' L, u8 R福建省高校科技资助项目(No. K2001110).}/ }% C2 ?) R! A! }2 ?* N
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}0 h O- A5 J* Y9 }
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
9 O, s3 x6 _! v/ l; c作者现在通信地址.}
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%-------------------------------------------------------------------------
) x- d% r( s# ~! K; d%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}5 e4 ~$ m$ u( [0 b6 I
%\vskip.1in T) h" c7 K2 Q' z
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}, Y6 ? \2 ~7 e. w: t0 c
%\vskip .1in0 x) }% N9 C7 Z5 `% {2 e4 p) N
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in, ^2 _! z. L4 D i
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
' H; J6 }+ P4 i6 R- D3 R* G5 l363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
3 z# F8 H" S) H! l' \\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
5 `8 R. M* t% Q/ l摘要:}\ \' Z; {8 Z6 S. A: ?+ r; Z
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,3 m& z: q* ?3 ^! ]$ N
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;
& Y7 L3 T) f- s. H3 I弱开映射; $\pi$映射; 商映射
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{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
' Z- m1 T" K4 z* h" @/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
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\sec{0 引言}3 V) l8 I( O6 [1 x4 ~( Z
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, A2 c" s* n4 e: ~* t: K\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a1 n: P' e" [4 ^3 k7 c0 m! l; u
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\begin{center}% e, w& _2 F. ]! x' G0 J& U
{\Large\bf Relative Perturbation Bounds for }\\[.1in]% R- V) l: P7 `7 M2 t. Z. E% L3 J
%vskip .13in* @2 ^& i7 `# c. b" a! I C3 X
{\Large\bf the Subunitary Polar Factor }\\[.1in]* i z6 p4 y7 l y, h
%\vskip .18in
/ R' V' Q+ y9 \9 M8 b0 d{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
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! T( k7 u( h) B ^{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
% B" N7 f" K! Z4 R%\vskip .08in
/ W( ^) c0 F0 ^7 q) Y{\footnotesize\it(Department of Mathematics, South China Normal& [+ F) \$ ]) O8 j
University, Guangzhou, Guangdong, 510631,6 ~6 A& Y. S3 m c. f% p
P. R. China)}\\[.25in]! R0 J: p% r$ J8 l0 u: `; a
%\vskip .1in$ c+ }; Z. C6 k4 X" y8 f4 g" P2 z
%{\zihao{5} Liu Yanpei}
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%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
; ~) @8 y6 X; \: [5 [( o O%Beijing, 100044, P.~R.~China)}
! ]! Y$ s" ]0 Q\end{center}
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \: d$ ?) d" ~1 u9 ?& ~0 Y0 v
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{\bf Key words:}\ \+ R) c3 z# T2 c7 i' W0 k" I
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