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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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) B2 f6 S+ b* `, L. \{\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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, E+ n6 y$ z9 B4 S6 S5 K%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
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6 K: k/ c. R/ C' l9 K0 P% h" Z%\footnotetext{}
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! {/ _3 ?) @$ ~% ?# C6 v\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:4 U+ M) n: a. c8 V2 p4 x* I
国家自然科学基金资助课题(No. 10271026),. T# h4 b( _ [( |
福建省自然科学基金资助项目(No. F0310010) ,
4 x( [" `- Z9 ?福建省高校科技资助项目(No. K2001110).}
% ^& P4 O" s4 ~' k$ A/ x9 }%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}) r% a% s5 x6 ~! I$ K, l
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
( P7 N2 d; p+ r作者现在通信地址.}0 b1 [! B9 D3 F- F }5 t N% A* x
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%-------------------------------------------------------------------------
% O7 F3 h2 a( a# e6 @# W4 ]%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
- {5 m; p" D' s7 Q5 ?%\vskip.1in
0 q; R, X8 I; U% H8 S" X% `%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
1 o- \- ?* J1 S) t' z%\vskip .1in* h7 ~' ~9 Z# g* a3 R
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
9 o# C! |3 [. U0 f# f6 Q7 E6 S\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,; l% {9 e" y, s& W
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}8 R9 T1 w' V: l0 @
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
3 Y* K* B0 Z" K# R' u$ a2 Q+ g- H& h摘要:}\ \
# N( \) ?: ]0 o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,+ e \* U5 h, t1 P' p4 G9 R/ 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( H7 K- A6 l/ Q# u* f' W/ }
8 ?2 a1 N& Y2 K- K* |{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;/ W( e' K8 E- I: K9 t1 ?* t- \
弱开映射; $\pi$映射; 商映射8 q7 `2 ]8 c: Z' _% C$ r
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{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E401 x: ?% H2 Y6 v( G8 d
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%%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
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3 Q! Y' F. I2 f( o. h/ f" D. }2 W+ k\sec{0 引言}
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, u0 C9 _" M" u) P\sec{参考文献} \baselineskip 13pt {\footnotesize
% |3 H$ F- T" D' n
; V' i& t! D v# v( g5 A\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a/ Y1 Y) v, ?' E! J* x
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.0 U$ A( f/ q( K
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7 x d3 j. `( J- a\vskip .25in% \- g4 F; U: B9 k: u W7 {
\begin{center}, J, C/ s5 ?" d
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
9 W5 D4 Z0 Y0 ~%vskip .13in
" V- C0 K$ y" ]( W5 \# A{\Large\bf the Subunitary Polar Factor }\\[.1in]$ S1 k% f0 H9 i8 C2 A; u$ G6 J
%\vskip .18in. t% l! [; s; ?) s; L
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
8 B# b, z6 { t: T%\vskip .18in
8 b* t% s% Y0 J, G. s6 ~{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]* i0 O/ `' D4 p/ N% @' e4 v
%\vskip .08in8 q" [ g2 \! g, Y0 }" K
{\footnotesize\it(Department of Mathematics, South China Normal
- ] ]! M b7 n* d9 [; m! KUniversity, Guangzhou, Guangdong, 510631,
/ Q {, ], M t y) j P. R. China)}\\[.25in]) E9 K: w6 Z! X9 T& q% L& p& O
%\vskip .1in9 f; p. P' N4 k, ]* Z$ @
%{\zihao{5} Liu Yanpei}
- u* `+ ^" w0 I, P" M8 ^2 S%\vskip .08in
4 f! P' ~9 g( z$ }- \3 B4 Y; ?%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
+ V* \( {- v9 J; y' H6 |: m, _%Beijing, 100044, P.~R.~China)}
+ I, p; [$ G' E+ b5 n# g& C\end{center}0 h% k! @* a6 U b$ C* p
%\vskip .18in
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2 [' R/ z' {+ R+ U+ K\zihao{5}\normalsize {\indent{\bf Abstract:}\ \ B. O' {4 S" {5 @
$ G; Q3 X( {2 H, X" H6 |# s. w{\bf Key words:}\ \" ~9 Y7 g1 n! y% X
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