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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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6 X# }6 z( l5 d+ Q& e\begin{center}
; j) B: Y* U4 x6 M{\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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\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:
& W. t; w; M) e$ E" X国家自然科学基金资助课题(No. 10271026),3 n( ~, d* h# r1 U( ]) @' q% U7 ~
福建省自然科学基金资助项目(No. F0310010) ,
% r$ E/ U8 E# {福建省高校科技资助项目(No. K2001110).}1 z; l2 s* P( J* j5 b3 Q; T6 P
%数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}' }8 X3 D- j$ u$ t8 |8 j
\footnotetext{E-mail: linshou@public.ndptt.fj.cn} \footnotetext{*
& i8 H, @8 a. _6 \! w作者现在通信地址.}/ o* ^# f+ R) z! b; ]1 ~
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%-------------------------------------------------------------------------
* D+ y+ o* b. W5 a* _+ G- M%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}
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5 e/ l1 a, U( L6 E |/ C%\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
6 |( H/ T" z z7 g" T+ K) A6 U7 L1 L%\vskip .1in
: z7 s! e5 L9 y0 {$ O\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in/ I* l! X# x) Z0 f4 r+ O7 K* M
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,. s+ Q8 F, m9 r- t' c4 a
363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}( v/ a! }: e6 _* k' |
\vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti: h; e9 w& q) n3 t. p
摘要:}\ \, \% f( X X; a& ]9 M
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,; V2 A, ~, E9 N/ v9 y
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.! G3 P% a& y( B* k ]
6 ~* a9 L8 r! G4 {
{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;' a: m4 K' u5 ?
弱开映射; $\pi$映射; 商映射
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\sec{0 引言}
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7 N) i/ a4 O( k. [\REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a- f! v# a) K! x. V5 O
perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.
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\begin{center}+ m1 u7 R& c% V _7 I( V
{\Large\bf Relative Perturbation Bounds for }\\[.1in]
3 r K6 V j4 L+ C%vskip .13in: M+ Z. i7 T8 Y& E& f D, V
{\Large\bf the Subunitary Polar Factor }\\[.1in]
) f) S. F% d1 U$ Y% p2 F%\vskip .18in
0 ]5 C/ A1 D$ {9 u/ I{\Large\bf the Under Unitarily Invariant Norms}\\[.18in]
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2 E# d1 a6 w2 p{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]
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{\footnotesize\it(Department of Mathematics, South China Normal
. S" i& L/ d4 ]4 b& OUniversity, Guangzhou, Guangdong, 510631,$ ~+ W2 e9 }$ a: l3 ^! J
P. R. China)}\\[.25in]( N/ \. A! n; N. Z/ s C
%\vskip .1in+ d4 R) { T+ d$ ?9 }1 G4 P: h; c `& G
%{\zihao{5} Liu Yanpei}; Z. ~" T+ s6 s& }+ U" b
%\vskip .08in
, m' S- W% b% q3 {3 [$ p& K8 i7 b%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,
! J' K7 C2 E6 c/ x4 o' C0 K%Beijing, 100044, P.~R.~China)}( R6 a% W w$ e* U h$ {
\end{center}0 h! n9 @. _) a6 Y' l# v0 @
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\baselineskip 14pt% \ D, z- H0 o: ^7 {
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
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{\bf Key words:}\ \
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