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{( }! h. B8 r0 m9 x %-----------------------作者定义 N4 H# ^8 z- R! f0 Q+ k# T
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\begin{center}! d; R, x* n. Q- r5 T+ Y
{\heiti\zihao{2}\LARGE\bf \huge 序列覆盖映射的注记}%Semi-Fredholm 算子时的应用}3 G! q7 M+ [# e* S3 J
%\vskip.1in
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%-------------------------------------------------------------------------
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\footnotetext{收稿日期: 2003-07-08.} \footnotetext{基金项目:9 q* J* e: x/ d' b
国家自然科学基金资助课题(No. 10271026),4 ~0 E+ j* l, d; o, Z7 c
福建省自然科学基金资助项目(No. F0310010) ,
% J6 p9 x3 ]" V* C, S 福建省高校科技资助项目(No. K2001110).}
! E0 q% H+ |0 ^. v4 } %数学天元基金(No. TY10126022)及973计划(No. 2002cb312200)资助.}
( h/ ` k$ ~( ]* i: \# V3 {% d \footnotetext{E-mail: linshou@public.ndptt.fj.cn } \footnotetext{*' e* o8 u3 }0 `# ]+ ]
作者现在通信地址.}
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%\centerline{\Rightarrowrge\zihao{4}\songti 蔡俊亮}, U) _3 e6 r1 G9 N4 Z a
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: c$ @: P/ ]& f. k; p %\centerline{\small\zihao{6} (北京师范大学数学系, 北京, 100875, 中国)}
2 Q$ S/ h- l0 ~) o4 L %\vskip .1in* e, P! E" \) f5 n2 p1 X
\centerline{\fangsong\large\zihao{4} 杨 \ \ 凤$^{1,2}$,\quad 钮凯$^{2}$ } \vskip.1in5 M* l( G: M, `- S+ Z$ c8 D
\centerline{\small\zihao{-5}(1. 漳州师范学院数学系, 漳州, 福建,
& `7 m& s. r0 c( L, x+ Z 363000;\ \ 2. 宁德师范高等专科学校数学系, 宁德, 福建, 352100)}
/ ^* E% |1 P! D8 K \vskip.25in {\narrower\fangsong\zihao{-5}\small {\zihao{-5}\heiti
* N# _5 Q6 ?' u2 m# \& P% K8 G 摘要:}\ \, [; n6 |5 E7 o% d+ l1 P 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,1 m+ K2 ?( z" L9 a6 y% _" ]- x, V
度量空间上的序列覆盖$\pi$映射未 必是1序列覆盖映射.! n$ i2 \0 ?$ n+ o
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{\zihao{-5}\heiti\tenbf 关键词:}\ \ 序列覆盖映射; 1序列覆盖映射;
, F$ l0 D! _; J& L 弱开映射; $\pi$映射; 商映射
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, ]/ v3 f8 D* F4 V {\tenbf\zihao{-5}\heiti MR(2000) 主题分类:}\ \ 54C10; 54D55; 54E40
* I5 U6 v+ G& q" B- F4 z. X / {\tenbf\zihao{-5}\heiti 中图分类号:} O189.1* d5 x& K" K. _/ \& B
P! W8 |5 \) w1 n3 e %%{\zihao{-5}\heiti 文献标识码:}\ \ A\qquad {\heiti\zihao{-5} 文章编号:}\ \5 y8 S* Z; i6 D: t- v& \, o2 J
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\sec{0 引言}
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* g" Q. A/ n2 t0 e9 f! ~ \sec{参考文献} \baselineskip 13pt {\footnotesize' n% G8 r# Y6 v' Q v" P$ h5 V" k
& f" a* x; e) ?/ a+ j' q \REF{[1]} Daves, C, Kahan, W.M., The rotation of eigenvectors by a
( o: D& f; q, S3 f" Y T perturbation, {\it SIAM J Numer Anal.}, 1970, 1(2): 1-46.% l% R8 y+ f0 y0 r" D y
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* W# {4 z8 L5 l {\Large\bf Relative Perturbation Bounds for }\\[.1in]
4 E! X- M+ s! w4 U %vskip .13in2 H6 q3 k) E& ~ K
{\Large\bf the Subunitary Polar Factor }\\[.1in]
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. d- z( n& x- Q3 p6 K {\Large\bf the Under Unitarily Invariant Norms}\\[.18in]& _% M- @( f( o9 x% i6 |- `5 Q' U
%\vskip .18in0 T. G! L/ e5 T' }4 e. `& l
{\normalsize\zihao{5} YANG Feng$^{1,2}$, \quad NIU Kai$^2$}\\[.1in]# i! u* i7 R( N5 Q; E
%\vskip .08in3 n* Y) o5 q' b1 v
{\footnotesize\it(Department of Mathematics, South China Normal, s# S! I1 ?- U8 ~1 B x2 u
University, Guangzhou, Guangdong, 510631,( Z2 z+ c0 [! a! w- J' \2 g
P. R. China)}\\[.25in]3 p" f* ?- i# ?
%\vskip .1in
4 y5 n& ?3 x* o" j) V %{\zihao{5} Liu Yanpei}; e/ _1 g* C# r' t. p
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%{\footnotesize\it(Department of Mathematics, Northern Jiaotong University,9 G2 n n( F- C: `7 g# ~
%Beijing, 100044, P.~R.~China)}
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\zihao{5}\normalsize {\indent{\bf Abstract:}\ \
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6 r& q1 I- A/ a" T4 w {\bf Key words:}\ \
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