Abstract
A Banach lattice L without the approximation property is constructed. The construction can be improved so that L is, in addition, uniformly convex. These results yield the existence of a uniformly convex Banach space with symmetric basis and without the uniform approximation property.
Original language | English |
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Pages (from-to) | 329-337 |
Number of pages | 9 |
Journal | Israel Journal of Mathematics |
Volume | 24 |
Issue number | 3-4 |
DOIs | |
State | Published - Dec 1976 |
Externally published | Yes |