节点文献
有限维赋范空间到C(Ω)型空间的等距逼近问题
THE PROBLEM OF ISOMETRIC APPROXIMATION FROM FINITE DIMENSIONAL NORMED SPACES INTO C(Ω) TYPE SPACES
【摘要】 本文证明了从有限维赋范空间X到C(Ω)型空间的等距逼近问题是肯定 B(X)为多面体或者Ω的孤立点有限.
【Abstract】 It is proved that the IAP from a finite dimensional normed space X into C(Ω) is affir mative if and only if B(X) is polyhedral or Ω has only finitely many isolated points.
【关键词】 IAP(等距逼近问题);
等距;
ε-等距;
多面体;
【Key words】 IAP (isometric approximation problem); isometry; ε-isometry; polyhedron;
【Key words】 IAP (isometric approximation problem); isometry; ε-isometry; polyhedron;
- 【文献出处】 南开大学学报(自然科学版) ,ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NANKAIENSIS , 编辑部邮箱 ,1994年03期
- 【分类号】O177.5
- 【被引频次】2
- 【下载频次】41