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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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& q! U( f1 ]6 d\begin{center}
! d; T$ S9 X# t3 ~' o8 Q1 b; F) K{\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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: Z! [" B* C; p$ U. \" p/ D\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:; A$ R/ P* s+ a$ ?# h
国家自然科学基金资助课题(No. 10271026),0 W D) ~7 e2 ]+ ?2 G( _
福建省自然科学基金资助项目(No. F0310010) ,
, D# R, v1 y. b9 \福建省高校科技资助项目(No. K2001110).}
# E; z0 U% R+ w- G) U4 ^. W%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
, g; G3 P, n* `7 C ]) `\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*1 T( \! @ q; f$ U& S0 E1 T9 j0 f% o
作者现在通信地址.} f1 }/ T; ~4 u
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9 D2 n; d& z( J I6 a7 u%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
, |$ k4 @+ {. x: S# q8 I5 [- x4 s%\vskip.1in
! [- ~8 K; N+ L0 D: d- P1 a! s%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}2 [* Y! M* ?! O& B
%\vskip .1in
' `& C9 j9 F$ T\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in5 j- G* u9 b; Q3 v
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
- m/ H) J# L* q' {363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}' z8 ` M8 y9 d" e. o( d/ f$ ~
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
0 S- N1 X! j3 c% |摘要:}\ \
/ a+ M2 J3 p+ q0 P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,
" Y4 X* e O* b2 H度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.% q! X# P! d" D# F8 s
/ S, L; ^, |& t9 `! j5 _
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
! _/ ^! B4 \: ~- z5 z9 q% K弱开映射; $\pi$映射; 商映射8 T4 G% T2 Y$ J
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{\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E403 `; A$ n1 J) K; T4 h* |3 `( c
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_4 ]2 e, [5 ^: G5 ?- z %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \
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4 s' e/ w# F' C4 j1 U) w/ D\sec{0 引言}
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\sec{参考文献} \baselineskip 13pt {\footnotesize4 H' y1 _& }- J; p2 z* s6 }
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\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
" A6 H, \; I) Y/ P: Z8 wperturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.4 @1 K, d2 C* O [" _$ P' B: V6 h
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\vskip .25in
% r# }4 F5 g6 J: M; N( q\begin{center}- ` r1 L6 y5 _, l& i) N
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
$ {1 r7 } C, O3 g9 q; o/ H# Y%vskip .13in8 U( [5 S, R( s. l: J% Y! E
{\Large\bf the Subunitary Polar Factor }\\[.1in]0 t8 C; R) H1 }( V# {9 v, s
%\vskip .18in3 w# n: \+ s+ h' g2 i* x3 K+ W# a
{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
, L/ O- U" q% a2 e% b%\vskip .18in; |9 o( U8 |$ ]' @, v( l8 u
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in], Q( X, o+ ]9 c) |( F# O
%\vskip .08in
! G9 c# U5 g$ ?3 N, T$ t b6 h4 W \1 x{\footnotesize\it(Department of Mathematics, South China Normal! L3 S, x" T8 x# c, ^& e% d
University, Guangzhou, Guangdong, 510631,
0 K, `6 Y5 R3 H N5 J P. R. China)}\\[.25in] T U5 n; q8 Z6 }' z* Z, }6 Z
%\vskip .1in
6 {* q) h4 ` @* Z2 ?% [. N%{\zihao{5} Liu Yanpei}
- L' C) t! s) `1 G5 g; m3 v%\vskip .08in
# I5 z4 R7 k n% o0 t' P S%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
; W+ P/ R6 C( k& O, n8 ~% M%Beijing, 100044, P.~R.~China)}
: N( H: Y v5 Z2 A* z/ D. g\end{center}
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \5 F1 ~. A# \# s* F1 F
2 [) P. I( j7 o8 L{\bf Key words:}\ \
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