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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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& i6 q( O3 F' f2 C2 z%-----------------------作者定义5 U. s8 D0 A# T
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7 A2 Z7 g6 K; N" i& A& n\begin{center}
4 U8 z! U7 |) |{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
! ?0 M4 w4 S7 E4 Z- J4 O# c%\vskip.1in: y; v& _4 I2 t% p' O$ x
%{\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:' L3 C9 @* h; S: N% l* v' G
国家自然科学基金资助课题(No. 10271026),
: A$ {1 U( v$ [3 x% {福建省自然科学基金资助项目(No. F0310010) ,; v) U4 e1 W4 T6 c. Y. w
福建省高校科技资助项目(No. K2001110).}" P6 e: D k6 w& a, F
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
+ {0 i+ D y* S" q\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*- K7 x' [0 X/ B
作者现在通信地址.}5 i O- Z; ~' o. X3 @$ I6 Z
y+ Y+ S4 v" |& W% X9 U4 O%-------------------------------------------------------------------------
& h4 n& \, V) W%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
7 S; f, F- }3 D( {! e) R$ h%\vskip.1in" V; S5 A* w1 `7 o1 y# J
%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}+ L$ V9 @/ D9 k! ]4 r; {+ O
%\vskip .1in
. p, z& z; ]9 v" j$ `7 V$ g U/ N\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in5 X5 G) {, _% r" a" a& ^
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,2 X$ q0 N3 z1 N' o: i. }
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}( j& E4 }+ I) A0 k
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti: W+ M+ w. \9 j/ s' Q
摘要:}\ \0 W% w% K7 }2 N7 j: x3 F
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,7 L( T2 p1 v: K4 z' r1 p' r2 y
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.% y. y0 h/ p$ s
+ H! k7 v; Y3 h$ c" A4 M& `
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;( X0 X& B. w5 l O [
弱开映射; $\pi$映射; 商映射! l6 J* z4 ^, `8 l
. a5 x4 A0 u! k6 s. |! H6 X+ Z" z{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
9 C f& R# I% t, a" S+ N/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.10 `5 |4 A) u; T1 t
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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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\sec{0 引言}/ I& h+ n6 x4 }2 n
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\sec{参考文献} \baselineskip 13pt {\footnotesize
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\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
7 C, J: A" ~0 Operturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
6 Z) A2 c) ]" m4 G3 r2 H1 R7 U8 G, |: t a3 C+ V
}
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\vskip .25in5 W) ~' Z9 a8 Q9 ^( X
\begin{center}) ?2 s8 C* r7 Z8 T" \
{\Large\bf Relative Perturbation Bounds for }\\[.1in]; V$ u9 J \; `& f. F8 D5 F
%vskip .13in; Z. m6 a9 }, B2 `: U
{\Large\bf the Subunitary Polar Factor }\\[.1in]
3 q( g' g) y) L* Z%\vskip .18in
3 O$ B$ s8 f0 i# G. b{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]+ E e* T$ F1 b: S$ S1 }: g
%\vskip .18in( c/ T& w6 O' v
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
0 ^8 _5 g* d3 U, @# j1 G%\vskip .08in
- k ]3 l$ g- G{\footnotesize\it(Department of Mathematics, South China Normal8 X0 h. k/ a5 e8 g! c5 T, y
University, Guangzhou, Guangdong, 510631,7 l/ j- @2 ]3 t
P. R. China)}\\[.25in]+ S1 T; Q3 N6 i' @
%\vskip .1in# t! @$ Y z, r9 k# g" {
%{\zihao{5} Liu Yanpei}) J6 }) W7 [" Q$ } j$ I
%\vskip .08in( ?! G; X2 d% E9 o! I" m
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
/ e. i0 h3 G1 N) B1 |9 B$ T+ J%Beijing, 100044, P.~R.~China)}
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\baselineskip 14pt
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
f" o' t9 N' n1 p0 {6 ^
# @+ V4 s( H, C4 z- I) q{\bf Key words:}\ \& L6 G) y$ f6 b! ?' ~3 d
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