A SOLUTION TO BANACHS HYPERPLANE PROBLEM

被引：65
作者：
GOWERS, WT
机构：
[1] Department of Mathematics, University College, London, WC1E 6BT, Gower Street
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1994年 / 26卷
关键词：
D O I：
10.1112/blms/26.6.523
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An infinite-dimensional Banach space X is constructed which is not isomorphic to X + R. Equivalently, X is not isomorphic to any of its closed subspaces of codimension one. This gives a negative answer to a question of Banach. In fact, X has the stronger property that it is not isomorphic to any proper subspace. It also happens to have an unconditional basis.
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页码：523 / 530
页数：8
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