A SOLUTION OF THE FINITE-DIMENSIONAL HOMOGENEOUS BANACH-SPACE PROBLEM

被引：9

作者：

MANKIEWICZ, P

TOMCZAKJAEGERMANN, N

机构：

[1] POLISH ACAD SCI,INST MATH,WARSAW 42,POLAND

[2] UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2E1,ALBERTA,CANADA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1991年 / 75卷 / 2-3期

关键词：

D O I：

10.1007/BF02776021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that if a finite-dimensional Banach space X has the property that all its alpha-n-dimensional subspaces are K-isomorphic, for some 0 < alpha < 1 and K > 1, then X is f(alpha, K)-isomorphic to a Hilbert space, where f(alpha, K) is cK3/2, if 0 < alpha < 2/3 and cK2, if 2/3 < alpha < 1, and where c = c(alpha) depends on a only.

引用

页码：129 / 159

页数：31

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