Isometric embedding of finite ultrametric spaces in Banach spaces

被引：11
作者：
Shkarin, SA [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Dept Math & Mech, Moscow 119899, Russia
来源：
TOPOLOGY AND ITS APPLICATIONS | 2004年 / 142卷 / 1-3期
关键词：
ultrametric spaces; isosceles metrics; embedding; Banach spaces;
D O I：
10.1016/j.topol.2003.12.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for any finite ultrametric space M and any infinite-dimensional Banach space B there exists an isometric embedding of M into B. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：13 / 17
页数：5
相关论文
共 18 条
[1]  
Dubrovin B. A., 1985, GRADUATE TEXTS MATH
[2]   ABSOLUTE AND UNCONDITIONAL CONVERGENCE IN NORMED LINEAR SPACES [J].
DVORETZKY, A ;
ROGERS, CA .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1950, 36 (03) :192-197
[3]   A THEOREM ON CONVEX BODIES AND APPLICATIONS TO BANACH SPACES [J].
DVORETZKY, A .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1959, 45 (02) :223-226
[4]  
Fichet B., 1988, Classification and Related Methods of Data Analysis. Proceedings of the First Conference of the International Federation of Classification Societies (IFCS), P439
[5]  
Lemin A. J., 1985, SOV MATH DOKL, V32, P740
[6]   On a universal ultrametric space [J].
Lemin, AJ ;
Lemin, VA .
TOPOLOGY AND ITS APPLICATIONS, 2000, 103 (03) :339-345
[7]  
Lemin AJ, 2001, LECT NOTES PURE APPL, V222, P203
[8]  
Lemin V., 2001, TRENDS MATH, V16, P219
[9]  
Monna A. F., 1950, NEDERL AKAD WETENSCH, V53, P625
[10]  
MONNA AF, 1950, NEDERL AKAD WETENSCH, V53, P470
12