THE FIXED POINT PROPERTY AND THE OPIAL CONDITION ON TREE-LIKE BANACH SPACES

被引：0

作者：

Poulios, Costas ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2015年 / 45卷 / 04期

关键词：

Fixed point property; Opial condition; normal structure; dyadic tree; Banach spaces not containing l(1) with nonseparable dual; MAPPINGS;

D O I：

10.1216/RMJ-2015-45-4-1245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce some new tree-like Banach spaces, belonging to the class of separable Banach spaces not containing L-1 with non-separable dual, each one of which satisfies the following: (1) the space has the fixed point property and (2) the space does not satisfy the Opial condition. In addition, one of these spaces contains subspaces isomorphic to c(0), whose Banach-Mazur distance from c(0) becomes arbitrarily large.

引用

页码：1245 / 1282

页数：38

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