C(K) QUOTIENTS OF SEPARABLE L-INFINITY SPACES

被引：11

作者：

ALSPACH, DE ^{[1
]}

BENYAMINI, Y ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,HAIFA,ISRAEL

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 32卷 / 2-3期

关键词：

D O I：

10.1007/BF02764911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if X is an ℒ{superset beside subset} space with separable dual, then X has a quotient isomorphic to C(ω)α if, and only if, there is an e{open} >0, such that the e{open}-Szlenk index of X is at least α. It was previously known, that if X is a separable ℒ{superset beside subset} space with a non-separable dual, then X has a quotient isomorphic to C[0, 1]. © 1979 The Weizmann Science Press of Israel.

引用

页码：145 / 160

页数：16

共 13 条

[1] QUOTIENTS OF C[0,1] WITH SEPARABLE DUAL [J].