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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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( i: a- @( o- S( A0 D0 M4 C\begin{center}" {7 J2 s+ N) T! G& v. C, t5 N
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}2 H# a4 s% l6 [7 ?1 P
%\vskip.1in
% E. t# B* j# c5 _0 [7 d%{\heiti\zihao{2}{\bf\huge Semi-Fredholm} 算子时的应用}
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%-------------------------------------------------------------------------
: c+ U6 Q) I. e4 w4 }# z# B w$ F3 M%\footnotetext{}
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q- Y+ R1 L, d" t# _; }\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:* b1 U& v" Q7 Q1 }9 O5 [
国家自然科学基金资助课题(No. 10271026),) B6 L( @' N6 r6 J& H( }: I5 g
福建省自然科学基金资助项目(No. F0310010) ,0 Y9 w: }/ X0 ]1 G; ~2 K/ _, D
福建省高校科技资助项目(No. K2001110).}
; `; U# t" M( w" C& G3 D1 R5 a%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}2 j T% ?. |5 @( W- C$ C3 B2 O
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
# Q& h; u2 t3 Y2 f2 G$ c作者现在通信地址.}. ?' C% |7 A4 R: Q
2 b0 t0 }* d2 c$ Y. c5 t" ?$ C% |
%-------------------------------------------------------------------------
1 x+ l) j+ `9 P5 ^- X# k%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
+ x/ [) t! A, O%\vskip.1in
* Y x& f% }% \* | G5 U) Y%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
3 {: J+ F. D- }( W( a2 y( k%\vskip .1in H) k2 Y2 @! z- A9 B; D. k( {
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in
6 A! V& {8 U; Y7 A$ i" Q" T1 o\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建, J1 D; \6 }" b) j* e9 g
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}# g/ l8 Q* x5 Z' M) x3 _
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti5 I Y* G& D- d, b) K/ Z. r1 s
摘要:}\ \
: v' i* A+ {0 T0 Y3 T) A6 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,
- {6 x7 v% ]# K. Z" B, G9 a; a5 T度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射. I$ B2 `6 `) S! Z& p5 x& }: v
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{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
, u, ?# b2 j r* g' R0 j弱开映射; $\pi$映射; 商映射0 M: w1 W0 z1 b( } s$ I5 O$ O( |
2 k, L, y, g4 Z{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40% k8 T* J9 Y \4 J7 A r) |. t0 Q
/ {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1
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6 e! c$ h& g4 D %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
* F1 G1 G; H1 A% U%% 1000-0917%(2004)02-0229-076 o. j, m& E1 C7 l1 U) J1 @4 V6 }
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\sec{0 引言}' K8 J. z3 x9 W7 X6 a
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/ T" f+ H, o8 n$ c7 H t\sec{参考文献} \baselineskip 13pt {\footnotesize$ _% ~) I. `/ a+ Z5 Z
* e9 \! _6 b: M* O1 c' j5 `\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a* U6 `8 I, W) C+ n: H
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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}
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\vskip .25in
) v( }6 E5 @( h/ O/ H\begin{center}; H' k8 R3 V8 v2 d6 _: {4 d0 R
{\Large\bf Relative Perturbation Bounds for }\\[.1in]: T* Z: V, }2 C2 o
%vskip .13in
; Q: M# K( a% ]3 V& b{\Large\bf the Subunitary Polar Factor }\\[.1in]% K/ L! W% X) R8 L5 W* \2 H4 {- l
%\vskip .18in# _( k3 u9 W B- Q
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]3 i' A1 @- \& D$ I& b; g
%\vskip .18in
7 ~. A" A, G' ]- Z0 h{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
A; S! Q$ T1 c0 t/ o%\vskip .08in
" K) | x' { j$ [- V# n{\footnotesize\it(Department of Mathematics, South China Normal/ H) R5 B* v$ P, W/ T* o1 |4 Z
University, Guangzhou, Guangdong, 510631,
# i- W1 X/ ]; b! O0 N$ z3 e% l P. R. China)}\\[.25in]
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. _3 K, }' ?9 o5 ]( D ~, c%{\zihao{5} Liu Yanpei}* a7 F2 R: [" U+ w8 `% s k
%\vskip .08in# E: }% `% D6 |6 x3 J
%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
0 h. {# H9 D- I* K) ^+ H%Beijing, 100044, P.~R.~China)}
# n3 ]9 l' V# N\end{center}, V+ J. t ~* `/ P' [0 J- p8 n
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\baselineskip 14pt
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \$ k6 T* a0 ?4 u. j+ L
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{\bf Key words:}\ \$ U8 p# j$ j+ O7 o% L2 @6 n* h1 L
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