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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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* H% h3 h3 o. l: U+ H6 w/ y%-----------------------作者定义4 _8 x1 }3 A7 S+ G0 c% ]
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# j0 a. y8 v& E4 o' Q6 d$ o+ Q\begin{center}
+ E, o2 |5 j; A{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}
& t1 g% h/ h2 Q$ k% B! m5 C%\vskip.1in7 ~" J* w% K4 |$ @
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%-------------------------------------------------------------------------
% \6 d$ q, }' B1 h, [; L%\footnotetext{}
0 A# I4 N, K z: }& L9 H3 {* Z `%\footnotetext{}
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3 r, ]0 m6 R A& n' q%\footnotetext{}
6 y$ ? w4 h1 o! Z7 ~\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:; F% ~: a, g% R$ m& w7 }* @
国家自然科学基金资助课题(No. 10271026),
( {' L# L- u5 o8 @2 \福建省自然科学基金资助项目(No. F0310010) ,7 I, M$ h" |& j5 X, G G6 A. N. \
福建省高校科技资助项目(No. K2001110).}
$ i, i) r1 x' n9 E( ?%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
1 A7 q) f C9 O9 \! H* e" l\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*, u Z( q5 F/ M3 E7 U$ L
作者现在通信地址.}5 g7 b$ h9 Q: {% Y( q
0 v* A, K, p+ U' p3 C9 p7 \5 e0 ]
%-------------------------------------------------------------------------
- f( ^- F% g+ C+ {%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
2 |3 n4 p- A, \6 R) U0 |9 ?1 q%\vskip.1in
5 k: E2 U0 h5 B/ c- _1 m( A9 A& b%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}% b' E- Z2 ]0 F8 \3 G" @
%\vskip .1in
) r/ i$ |0 h& O- |' p6 @\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
$ r/ l1 O/ Y1 q/ Y$ H( J7 o\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,1 Z# g1 d% c/ Q* w" I
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}; H5 F8 ~# x5 H+ h! X$ w% x* I
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
, n& k5 c2 @$ E6 v9 T. J, e L2 q摘要:}\ \
( K1 f. z4 e9 u8 q, G8 V) r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,
9 b8 |$ ?3 m w& K! d) z3 ^度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.# _% R/ Y. L+ I. j2 X. e
6 G, S9 p) E6 M, S{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;/ c4 K4 \: Z8 k1 X( O( |0 p
弱开映射; $\pi$映射; 商映射
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9 k6 U! o* ?0 L' @7 R2 v8 | M{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
7 B' z0 d6 k4 U- Y( Q/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
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\sec{0 引言}
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\sec{参考文献} \baselineskip 13pt {\footnotesize4 n, v% V! h: \7 z8 i
: ~! g! H( ^& N\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a+ L% D" `1 B" g9 D
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\vskip .25in& w1 x/ ~3 I W0 u. c# c# ~2 b
\begin{center}
9 E" x7 t( ^* m! n7 n B5 {{\Large\bf Relative Perturbation Bounds for }\\[.1in]' u" f- u, l$ [0 h% V
%vskip .13in
& M5 r+ h5 C; Q2 O3 t& z4 J{\Large\bf the Subunitary Polar Factor }\\[.1in]+ r/ ^9 F6 d V& n0 _* g6 b
%\vskip .18in
; v" a" y' e8 _8 T v; X{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]4 O) {! X2 O; t2 L w8 H
%\vskip .18in
; x' b! o( q+ c6 A. P{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]1 T r- L. y9 A$ E% e( e
%\vskip .08in" h; b H" ? a/ `! K0 G2 g
{\footnotesize\it(Department of Mathematics, South China Normal
6 R7 B* [! [, m5 S, pUniversity, Guangzhou, Guangdong, 510631,6 Z. ]$ e2 A! ]; _7 [" H1 z
P. R. China)}\\[.25in]
* I. D a' ^0 c# z* X/ ]: e%\vskip .1in
- k9 c6 H5 \, ~9 D4 \ R%{\zihao{5} Liu Yanpei}
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%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
$ Y% s4 t0 ]# G%Beijing, 100044, P.~R.~China)}8 j# H* r. }8 A: V% N* t
\end{center}( k- I. m g; M5 L5 B
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\baselineskip 14pt
+ U' }/ D0 I, x+ Q
/ q% J3 ?, ? N% j- `\zihao{5}\normalsize {\indent{\bf Abstract:}\ \$ l% S; S$ Z' G. ?& b' s
( F$ T. Z. }/ \9 \ k" w
{\bf Key words:}\ \/ i' X0 w: g0 W8 \) O
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}
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